3920770294272 has 480 divisors, whose sum is σ = 12905960715648. Its totient is φ = 1136689348608.

The previous prime is 3920770294229. The next prime is 3920770294303. The reversal of 3920770294272 is 2724920770293.

3920770294272 is a `hidden beast` number, since 3 + 9 + 207 + 7 + 0 + 2 + 9 + 427 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92290828 + ... + 92333300.

Almost surely, 2^{3920770294272} is an apocalyptic number.

3920770294272 is a gapful number since it is divisible by the number (32) 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 3920770294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6452980357824).

3920770294272 is an abundant number, since it is smaller than the sum of its proper divisors (8985190421376).

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

3920770294272 is a wasteful number, since it uses less digits than its factorization.

3920770294272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42600 (or 42581 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 3920770294272 in words is "three trillion, nine hundred twenty billion, seven hundred seventy million, two hundred ninety-four thousand, two hundred seventy-two".