3575638956096 has 105 divisors (see below), whose sum is σ = 10599717610911. Its totient is φ = 1191834269568.

The previous prime is 3575638956067. The next prime is 3575638956103. The reversal of 3575638956096 is 6906598365753.

The square root of 3575638956096 is 1890936.

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

3575638956096 is a `hidden beast` number, since 3 + 5 + 7 + 5 + 6 + 3 + 8 + 9 + 5 + 609 + 6 = 666.

It is a super-2 number, since 2×3575638956096² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 136134261 + ... + 136160523.

Almost surely, 2^{3575638956096} is an apocalyptic number.

3575638956096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3575638956096 is the 1890936-th square number.

It is an amenable number.

3575638956096 is an abundant number, since it is smaller than the sum of its proper divisors (7024078654815).

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

3575638956096 is an frugal number, since it uses more digits than its factorization.

3575638956096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52550 (or 26268 counting only the distinct ones).

The product of its (nonzero) digits is 1102248000, while the sum is 72.

The spelling of 3575638956096 in words is "three trillion, five hundred seventy-five billion, six hundred thirty-eight million, nine hundred fifty-six thousand, ninety-six".