3688262256 has 160 divisors (see below), whose sum is σ = 11299276800. Its totient is φ = 1014773760.

The previous prime is 3688262203. The next prime is 3688262269. The reversal of 3688262256 is 6522628863.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086610 + ... + 1089998.

It is an arithmetic number, because the mean of its divisors is an integer number (70620480).

Almost surely, 2^3688262256 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 3688262256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649638400).

3688262256 is an abundant number, since it is smaller than the sum of its proper divisors (7611014544).

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

3688262256 is a wasteful number, since it uses less digits than its factorization.

3688262256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3527 (or 3521 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 3688262256 is about 60731.0649997182. The cubic root of 3688262256 is about 1545.0430972153.

The spelling of 3688262256 in words is "three billion, six hundred eighty-eight million, two hundred sixty-two thousand, two hundred fifty-six".