3920390400 has 216 divisors, whose sum is σ = 13700310624. Its totient is φ = 983859200.

The previous prime is 3920390399. The next prime is 3920390401. The reversal of 3920390400 is 40930293.

It is an interprime number because it is at equal distance from previous prime (3920390399) and next prime (3920390401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3920390401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 320395 + ... + 332405.

It is an arithmetic number, because the mean of its divisors is an integer number (63427364).

Almost surely, 2^3920390400 is an apocalyptic number.

3920390400 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 3920390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6850155312).

3920390400 is an abundant number, since it is smaller than the sum of its proper divisors (9779920224).

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

3920390400 is a wasteful number, since it uses less digits than its factorization.

3920390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12057 (or 12038 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 3920390400 is about 62613.0210100104. The cubic root of 3920390400 is about 1576.7993745945.

The spelling of 3920390400 in words is "three billion, nine hundred twenty million, three hundred ninety thousand, four hundred".