3761472816 has 240 divisors, whose sum is σ = 11320108800. Its totient is φ = 1208390400.

The previous prime is 3761472787. The next prime is 3761472821. The reversal of 3761472816 is 6182741673.

3761472816 is a `hidden beast` number, since 3 + 7 + 614 + 7 + 28 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24910341 + ... + 24910491.

It is an arithmetic number, because the mean of its divisors is an integer number (47167120).

Almost surely, 2^3761472816 is an apocalyptic number.

3761472816 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 3761472816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660054400).

3761472816 is an abundant number, since it is smaller than the sum of its proper divisors (7558635984).

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

3761472816 is a wasteful number, since it uses less digits than its factorization.

3761472816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 348 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 3761472816 is about 61330.8471814959. The cubic root of 3761472816 is about 1555.1990269198.

The spelling of 3761472816 in words is "three billion, seven hundred sixty-one million, four hundred seventy-two thousand, eight hundred sixteen".