3620976117120 has 256 divisors, whose sum is σ = 12826080331200. Its totient is φ = 965458870272.

The previous prime is 3620976117113. The next prime is 3620976117131. The reversal of 3620976117120 is 217116790263.

3620976117120 is a `hidden beast` number, since 3 + 6 + 2 + 0 + 9 + 7 + 611 + 7 + 1 + 20 = 666.

It is a super-2 number, since 2×3620976117120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216907494 + ... + 216924186.

Almost surely, 2^{3620976117120} is an apocalyptic number.

3620976117120 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 3620976117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413040165600).

3620976117120 is an abundant number, since it is smaller than the sum of its proper divisors (9205104214080).

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

3620976117120 is a wasteful number, since it uses less digits than its factorization.

3620976117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29274 (or 29256 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 3620976117120 in words is "three trillion, six hundred twenty billion, nine hundred seventy-six million, one hundred seventeen thousand, one hundred twenty".