3626878464 has 640 divisors, whose sum is σ = 13152015360. Its totient is φ = 973209600.

The previous prime is 3626878439. The next prime is 3626878537. The reversal of 3626878464 is 4648786263.

3626878464 is a `hidden beast` number, since 3 + 626 + 8 + 7 + 8 + 4 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3626878464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59456994 + ... + 59457054.

It is an arithmetic number, because the mean of its divisors is an integer number (20550024).

Almost surely, 2^3626878464 is an apocalyptic number.

3626878464 is a gapful number since it is divisible by the number (34) 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 3626878464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6576007680).

3626878464 is an abundant number, since it is smaller than the sum of its proper divisors (9525136896).

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

3626878464 is a wasteful number, since it uses less digits than its factorization.

3626878464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 3626878464 is about 60223.5706679702. The cubic root of 3626878464 is about 1536.4237112320.

The spelling of 3626878464 in words is "three billion, six hundred twenty-six million, eight hundred seventy-eight thousand, four hundred sixty-four".