3657850560 has 672 divisors, whose sum is σ = 16415747712. Its totient is φ = 725483520.

The previous prime is 3657850541. The next prime is 3657850579. The reversal of 3657850560 is 650587563.

3657850560 is a `hidden beast` number, since 3 + 6 + 5 + 7 + 85 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (3657850541) and next prime (3657850579).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4454950 + ... + 4455770.

It is an arithmetic number, because the mean of its divisors is an integer number (24428196).

Almost surely, 2^3657850560 is an apocalyptic number.

3657850560 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 3657850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8207873856).

3657850560 is an abundant number, since it is smaller than the sum of its proper divisors (12757897152).

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

3657850560 is a wasteful number, since it uses less digits than its factorization.

3657850560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 3657850560 is about 60480.1666664370. The cubic root of 3657850560 is about 1540.7848026632.

The spelling of 3657850560 in words is "three billion, six hundred fifty-seven million, eight hundred fifty thousand, five hundred sixty".