3994754400 has 972 divisors, whose sum is σ = 18008620812. Its totient is φ = 830269440.

The previous prime is 3994754341. The next prime is 3994754441. The reversal of 3994754400 is 44574993.

It is a happy number.

3994754400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 161 ways as a sum of consecutive naturals, for example, 59623167 + ... + 59623233.

Almost surely, 2^3994754400 is an apocalyptic number.

3994754400 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 3994754400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9004310406).

3994754400 is an abundant number, since it is smaller than the sum of its proper divisors (14013866412).

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

3994754400 is a wasteful number, since it uses less digits than its factorization.

3994754400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3994754400 is about 63204.0694892346. The cubic root of 3994754400 is about 1586.7068425044.

The spelling of 3994754400 in words is "three billion, nine hundred ninety-four million, seven hundred fifty-four thousand, four hundred".