3577642338816 has 800 divisors, whose sum is σ = 13339648291200. Its totient is φ = 929405435904.

The previous prime is 3577642338737. The next prime is 3577642338833. The reversal of 3577642338816 is 6188332467753.

3577642338816 is a `hidden beast` number, since 3 + 57 + 76 + 423 + 3 + 88 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 252847710 + ... + 252861858.

It is an arithmetic number, because the mean of its divisors is an integer number (16674560364).

Almost surely, 2^{3577642338816} is an apocalyptic number.

3577642338816 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 3577642338816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6669824145600).

3577642338816 is an abundant number, since it is smaller than the sum of its proper divisors (9762005952384).

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

3577642338816 is a wasteful number, since it uses less digits than its factorization.

3577642338816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14266 (or 14241 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 3577642338816 in words is "three trillion, five hundred seventy-seven billion, six hundred forty-two million, three hundred thirty-eight thousand, eight hundred sixteen".