3626972856 has 256 divisors, whose sum is σ = 11467008000. Its totient is φ = 1053803520.

The previous prime is 3626972851. The next prime is 3626972861. The reversal of 3626972856 is 6582796263.

3626972856 is a `hidden beast` number, since 3 + 626 + 9 + 7 + 2 + 8 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3626972851) and next prime (3626972861).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3626972851) by changing a digit.

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, 5747661 + ... + 5748291.

It is an arithmetic number, because the mean of its divisors is an integer number (44793000).

Almost surely, 2^3626972856 is an apocalyptic number.

3626972856 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 3626972856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733504000).

3626972856 is an abundant number, since it is smaller than the sum of its proper divisors (7840035144).

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

3626972856 is a wasteful number, since it uses less digits than its factorization.

3626972856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 761 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 3626972856 is about 60224.3543427408. The cubic root of 3626972856 is about 1536.4370399433.

The spelling of 3626972856 in words is "three billion, six hundred twenty-six million, nine hundred seventy-two thousand, eight hundred fifty-six".