3900918840 has 192 divisors, whose sum is σ = 14483059200. Its totient is φ = 823021056.

The previous prime is 3900918809. The next prime is 3900918877. The reversal of 3900918840 is 488190093.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3900918792 and 3900918801.

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 47 ways as a sum of consecutive naturals, for example, 128221 + ... + 155699.

It is an arithmetic number, because the mean of its divisors is an integer number (75432600).

Almost surely, 2^3900918840 is an apocalyptic number.

3900918840 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 3900918840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7241529600).

3900918840 is an abundant number, since it is smaller than the sum of its proper divisors (10582140360).

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

3900918840 is a wasteful number, since it uses less digits than its factorization.

3900918840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27526 (or 27509 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 3900918840 is about 62457.3361583729. The cubic root of 3900918840 is about 1574.1845231754.

The spelling of 3900918840 in words is "three billion, nine hundred million, nine hundred eighteen thousand, eight hundred forty".