3692119977121 has 27 divisors (see below), whose sum is σ = 4074382708851. Its totient is φ = 3344958795024.

The previous prime is 3692119977107. The next prime is 3692119977137. The reversal of 3692119977121 is 1217799112963.

The square root of 3692119977121 is 1921489.

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

It can be written as a sum of positive squares in only one way, i.e., 1770669342225 + 1921450634896 = 1330665^2 + 1386164^2 .

It is not a de Polignac number, because 3692119977121 - 2⁹ = 3692119976609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3692119987121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 839688495 + ... + 839692891.

Almost surely, 2^{3692119977121} is an apocalyptic number.

3692119977121 is the 1921489-th square number.

3692119977121 is the 960745-th centered octagonal number.

It is an amenable number.

3692119977121 is a deficient number, since it is larger than the sum of its proper divisors (382262731730).

3692119977121 is an frugal number, since it uses more digits than its factorization.

3692119977121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8878 (or 4439 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 58.

The spelling of 3692119977121 in words is "three trillion, six hundred ninety-two billion, one hundred nineteen million, nine hundred seventy-seven thousand, one hundred twenty-one".