3736624640 has 160 divisors (see below), whose sum is σ = 10338356160. Its totient is φ = 1268711424.

The previous prime is 3736624631. The next prime is 3736624657. The reversal of 3736624640 is 464266373.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1952324 + ... + 1954236.

It is an arithmetic number, because the mean of its divisors is an integer number (64614726).

Almost surely, 2^3736624640 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 3736624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169178080).

3736624640 is an abundant number, since it is smaller than the sum of its proper divisors (6601731520).

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

3736624640 is a wasteful number, since it uses less digits than its factorization.

3736624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 41.

The square root of 3736624640 is about 61127.9366574727. The cubic root of 3736624640 is about 1551.7669257108.

The spelling of 3736624640 in words is "three billion, seven hundred thirty-six million, six hundred twenty-four thousand, six hundred forty".