3662015616 has 512 divisors, whose sum is σ = 13473792000. Its totient is φ = 955514880.

The previous prime is 3662015603. The next prime is 3662015639. The reversal of 3662015616 is 6165102663.

3662015616 is a `hidden beast` number, since 3 + 6 + 6 + 20 + 15 + 616 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14248960 + ... + 14249216.

It is an arithmetic number, because the mean of its divisors is an integer number (26316000).

Almost surely, 2^3662015616 is an apocalyptic number.

3662015616 is a gapful number since it is divisible by the number (36) 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 3662015616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736896000).

3662015616 is an abundant number, since it is smaller than the sum of its proper divisors (9811776384).

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

3662015616 is a wasteful number, since it uses less digits than its factorization.

3662015616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3662015616 is about 60514.5901085019. The cubic root of 3662015616 is about 1541.3693919505.

The spelling of 3662015616 in words is "three billion, six hundred sixty-two million, fifteen thousand, six hundred sixteen".