3760344672 has 96 divisors (see below), whose sum is σ = 11511360000. Its totient is φ = 1074374784.

The previous prime is 3760344661. The next prime is 3760344677. The reversal of 3760344672 is 2764430673.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3760344677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24172 + ... + 90027.

It is an arithmetic number, because the mean of its divisors is an integer number (119910000).

Almost surely, 2^3760344672 is an apocalyptic number.

3760344672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3760344672 is an abundant number, since it is smaller than the sum of its proper divisors (7751015328).

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

3760344672 is a wasteful number, since it uses less digits than its factorization.

3760344672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114233 (or 114211 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The square root of 3760344672 is about 61321.6492928884. The cubic root of 3760344672 is about 1555.0435325192.

The spelling of 3760344672 in words is "three billion, seven hundred sixty million, three hundred forty-four thousand, six hundred seventy-two".