3937004136 has 256 divisors, whose sum is σ = 12529440000. Its totient is φ = 1135420416.

The previous prime is 3937004101. The next prime is 3937004167. The reversal of 3937004136 is 6314007393.

It is a super-2 number, since 2×3937004136² = 31000003133762212992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3937004136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5815030 + ... + 5815706.

It is an arithmetic number, because the mean of its divisors is an integer number (48943125).

Almost surely, 2^3937004136 is an apocalyptic number.

3937004136 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 3937004136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6264720000).

3937004136 is an abundant number, since it is smaller than the sum of its proper divisors (8592435864).

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

3937004136 is a wasteful number, since it uses less digits than its factorization.

3937004136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3937004136 is about 62745.5507267248. The cubic root of 3937004136 is about 1579.0236097459.

The spelling of 3937004136 in words is "three billion, nine hundred thirty-seven million, four thousand, one hundred thirty-six".