3802634880000 has 880 divisors, whose sum is σ = 13881892622400. Its totient is φ = 917504000000.

The previous prime is 3802634879999. The next prime is 3802634880139. The reversal of 3802634880000 is 884362083.

It is a tau number, because it is divible by the number of its divisors (880).

It is a super-2 number, since 2×3802634880000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8469119776 + ... + 8469120224.

It is an arithmetic number, because the mean of its divisors is an integer number (15774877980).

Almost surely, 2^{3802634880000} is an apocalyptic number.

3802634880000 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 3802634880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940946311200).

3802634880000 is an abundant number, since it is smaller than the sum of its proper divisors (10079257742400).

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

3802634880000 is a wasteful number, since it uses less digits than its factorization.

3802634880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 3802634880000 in words is "three trillion, eight hundred two billion, six hundred thirty-four million, eight hundred eighty thousand".