3902955840 has 560 divisors, whose sum is σ = 16227552000. Its totient is φ = 890072064.

The previous prime is 3902955799. The next prime is 3902955869. The reversal of 3902955840 is 485592093.

3902955840 is a `hidden beast` number, since 3 + 90 + 2 + 9 + 558 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8890341 + ... + 8890779.

Almost surely, 2^3902955840 is an apocalyptic number.

3902955840 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 3902955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8113776000).

3902955840 is an abundant number, since it is smaller than the sum of its proper divisors (12324596160).

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

3902955840 is an equidigital number, since it uses as much as digits as its factorization.

3902955840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 3902955840 is about 62473.6411616931. The cubic root of 3902955840 is about 1574.4584805017.

The spelling of 3902955840 in words is "three billion, nine hundred two million, nine hundred fifty-five thousand, eight hundred forty".