3792840120 has 128 divisors (see below), whose sum is σ = 12690432000. Its totient is φ = 1007614080.

The previous prime is 3792840101. The next prime is 3792840137. The reversal of 3792840120 is 210482973.

3792840120 is a `hidden beast` number, since 379 + 284 + 0 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×3792840120² = 28771272351763228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286201 + ... + 299159.

It is an arithmetic number, because the mean of its divisors is an integer number (99144000).

Almost surely, 2^3792840120 is an apocalyptic number.

3792840120 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 3792840120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345216000).

3792840120 is an abundant number, since it is smaller than the sum of its proper divisors (8897591880).

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

3792840120 is a wasteful number, since it uses less digits than its factorization.

3792840120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13250 (or 13240 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3792840120 is about 61586.0383528605. The cubic root of 3792840120 is about 1559.5100532399.

The spelling of 3792840120 in words is "three billion, seven hundred ninety-two million, eight hundred forty thousand, one hundred twenty".