3642733920 has 96 divisors (see below), whose sum is σ = 13113854208. Its totient is φ = 832624128.

The previous prime is 3642733909. The next prime is 3642733931. The reversal of 3642733920 is 293372463.

It is an interprime number because it is at equal distance from previous prime (3642733909) and next prime (3642733931).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 538714 + ... + 545433.

It is an arithmetic number, because the mean of its divisors is an integer number (136602648).

Almost surely, 2^3642733920 is an apocalyptic number.

3642733920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3642733920 is an abundant number, since it is smaller than the sum of its proper divisors (9471120288).

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

3642733920 is a wasteful number, since it uses less digits than its factorization.

3642733920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084172 (or 1084164 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 39.

The square root of 3642733920 is about 60355.0654046535. The cubic root of 3642733920 is about 1538.6593606031.

The spelling of 3642733920 in words is "three billion, six hundred forty-two million, seven hundred thirty-three thousand, nine hundred twenty".