3954525120 has 672 divisors, whose sum is σ = 17041489920. Its totient is φ = 819486720.

The previous prime is 3954525089. The next prime is 3954525131. The reversal of 3954525120 is 215254593.

It is a happy number.

3954525120 is a `hidden beast` number, since 3 + 9 + 5 + 4 + 525 + 120 = 666.

3954525120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3954525120² = 31276537849422028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20704225 + ... + 20704415.

It is an arithmetic number, because the mean of its divisors is an integer number (25359360).

Almost surely, 2^3954525120 is an apocalyptic number.

3954525120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3954525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8520744960).

3954525120 is an abundant number, since it is smaller than the sum of its proper divisors (13086964800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3954525120 is a wasteful number, since it uses less digits than its factorization.

3954525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 3954525120 is about 62885.0150671843. The cubic root of 3954525120 is about 1581.3625377367.

The spelling of 3954525120 in words is "three billion, nine hundred fifty-four million, five hundred twenty-five thousand, one hundred twenty".