3974731200 has 504 divisors, whose sum is σ = 16096219776. Its totient is φ = 920832000.

The previous prime is 3974731181. The next prime is 3974731217. The reversal of 3974731200 is 21374793.

3974731200 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 super-2 number, since 2×3974731200² = 31596976224506880000, 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 71 ways as a sum of consecutive naturals, for example, 3642655 + ... + 3643745.

It is an arithmetic number, because the mean of its divisors is an integer number (31936944).

Almost surely, 2^3974731200 is an apocalyptic number.

3974731200 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 3974731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8048109888).

3974731200 is an abundant number, since it is smaller than the sum of its proper divisors (12121488576).

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

3974731200 is a wasteful number, since it uses less digits than its factorization.

3974731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3974731200 is about 63045.4693058906. The cubic root of 3974731200 is about 1584.0513451370.

The spelling of 3974731200 in words is "three billion, nine hundred seventy-four million, seven hundred thirty-one thousand, two hundred".