3761013049920 has 1344 divisors, whose sum is σ = 16001160215040. Its totient is φ = 791357423616.

The previous prime is 3761013049897. The next prime is 3761013049949. The reversal of 3761013049920 is 299403101673.

3761013049920 is a `hidden beast` number, since 3 + 7 + 6 + 1 + 0 + 130 + 499 + 20 = 666.

3761013049920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3100587234 + ... + 3100588446.

It is an arithmetic number, because the mean of its divisors is an integer number (11905625160).

Almost surely, 2^{3761013049920} is an apocalyptic number.

3761013049920 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 3761013049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8000580107520).

3761013049920 is an abundant number, since it is smaller than the sum of its proper divisors (12240147165120).

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

3761013049920 is a wasteful number, since it uses less digits than its factorization.

3761013049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 3761013049920 in words is "three trillion, seven hundred sixty-one billion, thirteen million, forty-nine thousand, nine hundred twenty".