3676052161440 has 432 divisors, whose sum is σ = 13337516981880. Its totient is φ = 920882995200.

The previous prime is 3676052161423. The next prime is 3676052161471. The reversal of 3676052161440 is 441612506763.

3676052161440 is a `hidden beast` number, since 3 + 6 + 7 + 6 + 0 + 5 + 21 + 614 + 4 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1565691628176 + 2110360533264 = 1251276^2 + 1452708^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 57137290 + ... + 57201590.

Almost surely, 2^{3676052161440} is an apocalyptic number.

3676052161440 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 3676052161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6668758490940).

3676052161440 is an abundant number, since it is smaller than the sum of its proper divisors (9661464820440).

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

3676052161440 is a wasteful number, since it uses less digits than its factorization.

3676052161440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64425 (or 64377 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3676052161440 in words is "three trillion, six hundred seventy-six billion, fifty-two million, one hundred sixty-one thousand, four hundred forty".