3792101040 has 480 divisors, whose sum is σ = 16188297216. Its totient is φ = 773867520.

The previous prime is 3792101017. The next prime is 3792101077. The reversal of 3792101040 is 401012973.

It is a junction number, because it is equal to n+sod(n) for n = 3792100995 and 3792101013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2030187 + ... + 2032053.

Almost surely, 2^3792101040 is an apocalyptic number.

3792101040 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 3792101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8094148608).

3792101040 is an abundant number, since it is smaller than the sum of its proper divisors (12396196176).

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

3792101040 is a wasteful number, since it uses less digits than its factorization.

3792101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 3792101040 is about 61580.0376745581. The cubic root of 3792101040 is about 1559.4087503000.

The spelling of 3792101040 in words is "three billion, seven hundred ninety-two million, one hundred one thousand, forty".