3997574000 has 320 divisors, whose sum is σ = 11667062784. Its totient is φ = 1296000000.

The previous prime is 3997573999. The next prime is 3997574003. The reversal of 3997574000 is 4757993.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3997574003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26473925 + ... + 26474075.

Almost surely, 2^3997574000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3997574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5833531392).

3997574000 is an abundant number, since it is smaller than the sum of its proper divisors (7669488784).

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

3997574000 is a wasteful number, since it uses less digits than its factorization.

3997574000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 44.

The square root of 3997574000 is about 63226.3710804281. The cubic root of 3997574000 is about 1587.0800674877.

The spelling of 3997574000 in words is "three billion, nine hundred ninety-seven million, five hundred seventy-four thousand".