3790936080 has 240 divisors, whose sum is σ = 13980605184. Its totient is φ = 951367680.

The previous prime is 3790936067. The next prime is 3790936109. The reversal of 3790936080 is 806390973.

It is a happy number.

3790936080 is a `hidden beast` number, since 37 + 9 + 0 + 9 + 3 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 324745 + ... + 336215.

Almost surely, 2^3790936080 is an apocalyptic number.

3790936080 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 3790936080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990302592).

3790936080 is an abundant number, since it is smaller than the sum of its proper divisors (10189669104).

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

3790936080 is a wasteful number, since it uses less digits than its factorization.

3790936080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11516 (or 11498 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3790936080 is about 61570.5780385405. The cubic root of 3790936080 is about 1559.2490468480.

The spelling of 3790936080 in words is "three billion, seven hundred ninety million, nine hundred thirty-six thousand, eighty".