3802458816 has 280 divisors, whose sum is σ = 12856646880. Its totient is φ = 1100832768.

The previous prime is 3802458811. The next prime is 3802458817. The reversal of 3802458816 is 6188542083.

3802458816 is a `hidden beast` number, since 38 + 0 + 24 + 588 + 16 = 666.

It is a super-2 number, since 2×3802458816² = 28917386094752243712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3802458811) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1144005 + ... + 1147323.

It is an arithmetic number, because the mean of its divisors is an integer number (45916596).

Almost surely, 2^3802458816 is an apocalyptic number.

3802458816 is a gapful number since it is divisible by the number (36) 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 3802458816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428323440).

3802458816 is an abundant number, since it is smaller than the sum of its proper divisors (9054188064).

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

3802458816 is a wasteful number, since it uses less digits than its factorization.

3802458816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 3802458816 is about 61664.0804358583. The cubic root of 3802458816 is about 1560.8272535453.

The spelling of 3802458816 in words is "three billion, eight hundred two million, four hundred fifty-eight thousand, eight hundred sixteen".