3736952856 has 288 divisors, whose sum is σ = 12903181200. Its totient is φ = 968163840.

The previous prime is 3736952809. The next prime is 3736952861. The reversal of 3736952856 is 6582596373.

It is a happy number.

3736952856 is a `hidden beast` number, since 3 + 7 + 3 + 69 + 528 + 56 = 666.

3736952856 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 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, 2705286 + ... + 2706666.

Almost surely, 2^3736952856 is an apocalyptic number.

3736952856 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 3736952856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6451590600).

3736952856 is an abundant number, since it is smaller than the sum of its proper divisors (9166228344).

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

3736952856 is a wasteful number, since it uses less digits than its factorization.

3736952856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1465 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 3736952856 is about 61130.6212629972. The cubic root of 3736952856 is about 1551.8123588553.

The spelling of 3736952856 in words is "three billion, seven hundred thirty-six million, nine hundred fifty-two thousand, eight hundred fifty-six".