3638739456 has 160 divisors (see below), whose sum is σ = 11750587200. Its totient is φ = 1102602240.

The previous prime is 3638739439. The next prime is 3638739499. The reversal of 3638739456 is 6549378363.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140100 + ... + 164028.

It is an arithmetic number, because the mean of its divisors is an integer number (73441170).

Almost surely, 2^3638739456 is an apocalyptic number.

3638739456 is a gapful number since it is divisible by the number (36) 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 3638739456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875293600).

3638739456 is an abundant number, since it is smaller than the sum of its proper divisors (8111847744).

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

3638739456 is a wasteful number, since it uses less digits than its factorization.

3638739456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23967 (or 23945 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The square root of 3638739456 is about 60321.9649547327. The cubic root of 3638739456 is about 1538.0967458700.

The spelling of 3638739456 in words is "three billion, six hundred thirty-eight million, seven hundred thirty-nine thousand, four hundred fifty-six".