3752592480 has 432 divisors, whose sum is σ = 16046254224. Its totient is φ = 791562240.

The previous prime is 3752592469. The next prime is 3752592497. The reversal of 3752592480 is 842952573.

3752592480 is a `hidden beast` number, since 3 + 7 + 52 + 592 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 915235 + ... + 919325.

It is an arithmetic number, because the mean of its divisors is an integer number (37144107).

Almost surely, 2^3752592480 is an apocalyptic number.

3752592480 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 3752592480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023127112).

3752592480 is an abundant number, since it is smaller than the sum of its proper divisors (12293661744).

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

3752592480 is a wasteful number, since it uses less digits than its factorization.

3752592480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3752592480 is about 61258.4074229815. The cubic root of 3752592480 is about 1553.9741899780.

The spelling of 3752592480 in words is "three billion, seven hundred fifty-two million, five hundred ninety-two thousand, four hundred eighty".