3802953024 has 448 divisors, whose sum is σ = 12817530880. Its totient is φ = 1097349120.

The previous prime is 3802952987. The next prime is 3802953041. The reversal of 3802953024 is 4203592083.

3802953024 is a `hidden beast` number, since 3 + 80 + 29 + 530 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3802953024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29944449 + ... + 29944575.

It is an arithmetic number, because the mean of its divisors is an integer number (28610560).

Almost surely, 2^3802953024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3802953024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6408765440).

3802953024 is an abundant number, since it is smaller than the sum of its proper divisors (9014577856).

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

3802953024 is a wasteful number, since it uses less digits than its factorization.

3802953024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3802953024 is about 61668.0875656121. The cubic root of 3802953024 is about 1560.8948711875.

The spelling of 3802953024 in words is "three billion, eight hundred two million, nine hundred fifty-three thousand, twenty-four".