3767375664 has 160 divisors (see below), whose sum is σ = 11707584000. Its totient is φ = 1153025280.

The previous prime is 3767375617. The next prime is 3767375669. The reversal of 3767375664 is 4665737673.

3767375664 is a `hidden beast` number, since 3 + 7 + 6 + 73 + 7 + 566 + 4 = 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 a self number, because there is not a number n which added to its sum of digits gives 3767375664.

It is not an unprimeable number, because it can be changed into a prime (3767375669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1115899 + ... + 1119269.

It is an arithmetic number, because the mean of its divisors is an integer number (73172400).

Almost surely, 2^3767375664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3767375664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5853792000).

3767375664 is an abundant number, since it is smaller than the sum of its proper divisors (7940208336).

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

3767375664 is a wasteful number, since it uses less digits than its factorization.

3767375664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 3588 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 54.

The square root of 3767375664 is about 61378.9513106896. The cubic root of 3767375664 is about 1556.0121220389.

The spelling of 3767375664 in words is "three billion, seven hundred sixty-seven million, three hundred seventy-five thousand, six hundred sixty-four".