3307628640 has 192 divisors, whose sum is σ = 10868981760. Its totient is φ = 844462080.

The previous prime is 3307628633. The next prime is 3307628657. The reversal of 3307628640 is 468267033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1766905 + ... + 1768775.

It is an arithmetic number, because the mean of its divisors is an integer number (56609280).

Almost surely, 2^3307628640 is an apocalyptic number.

3307628640 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 3307628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434490880).

3307628640 is an abundant number, since it is smaller than the sum of its proper divisors (7561353120).

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

3307628640 is a wasteful number, since it uses less digits than its factorization.

3307628640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 3307628640 is about 57511.9869244665. The cubic root of 3307628640 is about 1489.9518985117.

It can be divided in two parts, 33076 and 28640, that added together give a palindrome (61716).

The spelling of 3307628640 in words is "three billion, three hundred seven million, six hundred twenty-eight thousand, six hundred forty".