3802930290432 has 720 divisors, whose sum is σ = 13980889359360. Its totient is φ = 1001218351104.

The previous prime is 3802930290431. The next prime is 3802930290433. The reversal of 3802930290432 is 2340920392083.

3802930290432 is a `hidden beast` number, since 3 + 80 + 29 + 30 + 2 + 90 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (3802930290431) and next prime (3802930290433).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3802930290431) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1356734343 + ... + 1356737145.

It is an arithmetic number, because the mean of its divisors is an integer number (19417901888).

Almost surely, 2^{3802930290432} is an apocalyptic number.

3802930290432 is a gapful number since it is divisible by the number (32) 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 3802930290432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990444679680).

3802930290432 is an abundant number, since it is smaller than the sum of its proper divisors (10177959068928).

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

3802930290432 is a wasteful number, since it uses less digits than its factorization.

3802930290432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 3802930290432 in words is "three trillion, eight hundred two billion, nine hundred thirty million, two hundred ninety thousand, four hundred thirty-two".