3799557564264 has 768 divisors, whose sum is σ = 14042307686400. Its totient is φ = 929831063040.

The previous prime is 3799557564263. The next prime is 3799557564277. The reversal of 3799557564264 is 4624657559973.

3799557564264 is a `hidden beast` number, since 3 + 7 + 9 + 9 + 5 + 57 + 564 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3799557564192 and 3799557564201.

It is not an unprimeable number, because it can be changed into a prime (3799557564263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 281922294 + ... + 281935770.

It is an arithmetic number, because the mean of its divisors is an integer number (18284254800).

Almost surely, 2^{3799557564264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3799557564264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021153843200).

3799557564264 is an abundant number, since it is smaller than the sum of its proper divisors (10242750122136).

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

3799557564264 is a wasteful number, since it uses less digits than its factorization.

3799557564264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13611 (or 13590 counting only the distinct ones).

The product of its digits is 1714608000, while the sum is 72.

The spelling of 3799557564264 in words is "three trillion, seven hundred ninety-nine billion, five hundred fifty-seven million, five hundred sixty-four thousand, two hundred sixty-four".