3643704960 has 128 divisors (see below), whose sum is σ = 13273545600. Its totient is φ = 832843776.

The previous prime is 3643704947. The next prime is 3643704989. The reversal of 3643704960 is 694073463.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122115 + ... + 148994.

It is an arithmetic number, because the mean of its divisors is an integer number (103699575).

Almost surely, 2^3643704960 is an apocalyptic number.

3643704960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3643704960 is an abundant number, since it is smaller than the sum of its proper divisors (9629840640).

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

3643704960 is a wasteful number, since it uses less digits than its factorization.

3643704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271138 (or 271126 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The square root of 3643704960 is about 60363.1092638542. The cubic root of 3643704960 is about 1538.7960680942.

The spelling of 3643704960 in words is "three billion, six hundred forty-three million, seven hundred four thousand, nine hundred sixty".