3937141656 has 192 divisors, whose sum is σ = 13464921600. Its totient is φ = 1012644864.

The previous prime is 3937141651. The next prime is 3937141657. The reversal of 3937141656 is 6561417393.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3937141651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187075 + ... + 207053.

It is an arithmetic number, because the mean of its divisors is an integer number (70129800).

Almost surely, 2^3937141656 is an apocalyptic number.

3937141656 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 3937141656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732460800).

3937141656 is an abundant number, since it is smaller than the sum of its proper divisors (9527779944).

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

3937141656 is a wasteful number, since it uses less digits than its factorization.

3937141656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20038 (or 20031 counting only the distinct ones).

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

The square root of 3937141656 is about 62746.6465717492. The cubic root of 3937141656 is about 1579.0419946896.

The spelling of 3937141656 in words is "three billion, nine hundred thirty-seven million, one hundred forty-one thousand, six hundred fifty-six".