3688287072 has 48 divisors (see below), whose sum is σ = 9704222640. Its totient is φ = 1226575872.

The previous prime is 3688287047. The next prime is 3688287073. The reversal of 3688287072 is 2707828863.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688287073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2797 + ... + 85932.

It is an arithmetic number, because the mean of its divisors is an integer number (202171305).

Almost surely, 2^3688287072 is an apocalyptic number.

3688287072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3688287072 is an abundant number, since it is smaller than the sum of its proper divisors (6015935568).

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

3688287072 is a wasteful number, since it uses less digits than its factorization.

3688287072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89175 (or 89167 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 3688287072 is about 60731.2693099691. The cubic root of 3688287072 is about 1545.0465624157.

The spelling of 3688287072 in words is "three billion, six hundred eighty-eight million, two hundred eighty-seven thousand, seventy-two".