3677522305680 has 640 divisors, whose sum is σ = 13529374064640. Its totient is φ = 916011233280.

The previous prime is 3677522305673. The next prime is 3677522305711. The reversal of 3677522305680 is 865032257763.

It is a happy number.

3677522305680 is a `hidden beast` number, since 3 + 6 + 7 + 7 + 52 + 23 + 0 + 568 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1216512649 + ... + 1216515671.

It is an arithmetic number, because the mean of its divisors is an integer number (21139646976).

Almost surely, 2^{3677522305680} is an apocalyptic number.

3677522305680 is a gapful number since it is divisible by the number (30) 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 3677522305680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764687032320).

3677522305680 is an abundant number, since it is smaller than the sum of its proper divisors (9851851758960).

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

3677522305680 is a wasteful number, since it uses less digits than its factorization.

3677522305680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636 (or 3624 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 3677522305680 in words is "three trillion, six hundred seventy-seven billion, five hundred twenty-two million, three hundred five thousand, six hundred eighty".