3772568136100 has 81 divisors (see below), whose sum is σ = 8383139367267. Its totient is φ = 1473607289280.

The previous prime is 3772568136079. The next prime is 3772568136101. The reversal of 3772568136100 is 16318652773.

The square root of 3772568136100 is 1942310.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2182184837284 + 1590383298816 = 1477222^2 + 1261104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3772568136101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 835191042 + ... + 835195558.

Almost surely, 2^{3772568136100} is an apocalyptic number.

3772568136100 is the 1942310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3772568136100

3772568136100 is an abundant number, since it is smaller than the sum of its proper divisors (4610571231167).

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

3772568136100 is an frugal number, since it uses more digits than its factorization.

3772568136100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9134 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

Multiplying 3772568136100 by its sum of digits (49), we get a square (184855838668900 = 13596170²).

The spelling of 3772568136100 in words is "three trillion, seven hundred seventy-two billion, five hundred sixty-eight million, one hundred thirty-six thousand, one hundred".