3638732370 has 512 divisors, whose sum is σ = 12192768000. Its totient is φ = 673505280.

The previous prime is 3638732333. The next prime is 3638732371. The reversal of 3638732370 is 732378363.

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

It is not an unprimeable number, because it can be changed into a prime (3638732371) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 61673401 + ... + 61673459.

It is an arithmetic number, because the mean of its divisors is an integer number (23814000).

Almost surely, 2^3638732370 is an apocalyptic number.

3638732370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3638732370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384000).

3638732370 is an abundant number, since it is smaller than the sum of its proper divisors (8554035630).

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

3638732370 is a wasteful number, since it uses less digits than its factorization.

3638732370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178.

The product of its (nonzero) digits is 381024, while the sum is 42.

The square root of 3638732370 is about 60321.9062198800. The cubic root of 3638732370 is about 1538.0957474509.

The spelling of 3638732370 in words is "three billion, six hundred thirty-eight million, seven hundred thirty-two thousand, three hundred seventy".