3974561136 has 400 divisors, whose sum is σ = 14398078464. Its totient is φ = 1030537728.

The previous prime is 3974561093. The next prime is 3974561141. The reversal of 3974561136 is 6311654793.

It is a happy number.

3974561136 is a `hidden beast` number, since 3 + 9 + 74 + 561 + 13 + 6 = 666.

It is a super-2 number, since 2×3974561136² = 31594272447603220992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3974561091 and 3974561100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7901461 + ... + 7901963.

Almost surely, 2^3974561136 is an apocalyptic number.

3974561136 is a gapful number since it is divisible by the number (36) 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 3974561136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7199039232).

3974561136 is an abundant number, since it is smaller than the sum of its proper divisors (10423517328).

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

3974561136 is a wasteful number, since it uses less digits than its factorization.

3974561136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 595 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 3974561136 is about 63044.1205506112. The cubic root of 3974561136 is about 1584.0287529216.

The spelling of 3974561136 in words is "three billion, nine hundred seventy-four million, five hundred sixty-one thousand, one hundred thirty-six".