3657422160 has 840 divisors, whose sum is σ = 15977596416. Its totient is φ = 761425920.

The previous prime is 3657422149. The next prime is 3657422207. The reversal of 3657422160 is 612247563.

3657422160 is a `hidden beast` number, since 3 + 6 + 574 + 2 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 117981345 + ... + 117981375.

Almost surely, 2^3657422160 is an apocalyptic number.

3657422160 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 3657422160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988798208).

3657422160 is an abundant number, since it is smaller than the sum of its proper divisors (12320174256).

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

3657422160 is a wasteful number, since it uses less digits than its factorization.

3657422160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3657422160 is about 60476.6249058262. The cubic root of 3657422160 is about 1540.7246491232.

The spelling of 3657422160 in words is "three billion, six hundred fifty-seven million, four hundred twenty-two thousand, one hundred sixty".