3680624640 has 448 divisors, whose sum is σ = 14721108480. Its totient is φ = 762839040.

The previous prime is 3680624621. The next prime is 3680624641. The reversal of 3680624640 is 464260863.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680624641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9461566 + ... + 9461954.

Almost surely, 2^3680624640 is an apocalyptic number.

3680624640 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 3680624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360554240).

3680624640 is an abundant number, since it is smaller than the sum of its proper divisors (11040483840).

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

3680624640 is a wasteful number, since it uses less digits than its factorization.

3680624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 3680624640 is about 60668.1517766942. The cubic root of 3680624640 is about 1543.9758736957.

The spelling of 3680624640 in words is "three billion, six hundred eighty million, six hundred twenty-four thousand, six hundred forty".