3904007940 has 288 divisors, whose sum is σ = 14098366464. Its totient is φ = 855671040.

The previous prime is 3904007929. The next prime is 3904007977. The reversal of 3904007940 is 497004093.

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

It is a junction number, because it is equal to n+sod(n) for n = 3904007895 and 3904007904.

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, 4960227 + ... + 4961013.

Almost surely, 2^3904007940 is an apocalyptic number.

3904007940 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 3904007940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7049183232).

3904007940 is an abundant number, since it is smaller than the sum of its proper divisors (10194358524).

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

3904007940 is a wasteful number, since it uses less digits than its factorization.

3904007940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3904007940 is about 62482.0609455226. The cubic root of 3904007940 is about 1574.5999407192.

The spelling of 3904007940 in words is "three billion, nine hundred four million, seven thousand, nine hundred forty".