3974256000 has 768 divisors, whose sum is σ = 16854626880. Its totient is φ = 884736000.

The previous prime is 3974255983. The next prime is 3974256007. The reversal of 3974256000 is 6524793.

3974256000 is a `hidden beast` number, since 3 + 9 + 7 + 42 + 5 + 600 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3974256007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20591904 + ... + 20592096.

Almost surely, 2^3974256000 is an apocalyptic number.

3974256000 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 3974256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8427313440).

3974256000 is an abundant number, since it is smaller than the sum of its proper divisors (12880370880).

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

3974256000 is a wasteful number, since it uses less digits than its factorization.

3974256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3974256000 is about 63041.7004846792. The cubic root of 3974256000 is about 1583.9882154005.

The spelling of 3974256000 in words is "three billion, nine hundred seventy-four million, two hundred fifty-six thousand".