3638070720 has 672 divisors, whose sum is σ = 14372904960. Its totient is φ = 864829440.

The previous prime is 3638070713. The next prime is 3638070739. The reversal of 3638070720 is 270708363.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77405737 + ... + 77405783.

Almost surely, 2^3638070720 is an apocalyptic number.

3638070720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3638070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7186452480).

3638070720 is an abundant number, since it is smaller than the sum of its proper divisors (10734834240).

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

3638070720 is a wasteful number, since it uses less digits than its factorization.

3638070720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3638070720 is about 60316.4216445240. The cubic root of 3638070720 is about 1538.0025150981.

The spelling of 3638070720 in words is "three billion, six hundred thirty-eight million, seventy thousand, seven hundred twenty".