3764104896 has 112 divisors (see below), whose sum is σ = 10520639360. Its totient is φ = 1184440320.

The previous prime is 3764104879. The next prime is 3764104943. The reversal of 3764104896 is 6984014673.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1118256 + ... + 1121616.

It is an arithmetic number, because the mean of its divisors is an integer number (93934280).

Almost surely, 2^3764104896 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 3764104896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260319680).

3764104896 is an abundant number, since it is smaller than the sum of its proper divisors (6756534464).

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

3764104896 is a wasteful number, since it uses less digits than its factorization.

3764104896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 3764104896 is about 61352.3014727239. The cubic root of 3764104896 is about 1555.5616910537.

The spelling of 3764104896 in words is "three billion, seven hundred sixty-four million, one hundred four thousand, eight hundred ninety-six".