3769950356496 has 135 divisors (see below), whose sum is σ = 10610627512381. Its totient is φ = 1249543731072.

The previous prime is 3769950356461. The next prime is 3769950356503. The reversal of 3769950356496 is 6946530599673.

The square root of 3769950356496 is 1941636.

It is a perfect power (a square), and thus also a powerful number.

3769950356496 is a `hidden beast` number, since 3 + 7 + 6 + 9 + 9 + 50 + 3 + 564 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3747708810000 + 22241546496 = 1935900^2 + 149136^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5568611710 + ... + 5568612386.

Almost surely, 2^{3769950356496} is an apocalyptic number.

3769950356496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3769950356496 is the 1941636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3769950356496

3769950356496 is an abundant number, since it is smaller than the sum of its proper divisors (6840677155885).

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

3769950356496 is an frugal number, since it uses more digits than its factorization.

3769950356496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 992023200, while the sum is 72.

The spelling of 3769950356496 in words is "three trillion, seven hundred sixty-nine billion, nine hundred fifty million, three hundred fifty-six thousand, four hundred ninety-six".