3801462336 has 189 divisors, whose sum is σ = 12709809099. Its totient is φ = 1083172608.

The previous prime is 3801462317. The next prime is 3801462347. The reversal of 3801462336 is 6332641083.

The square root of 3801462336 is 61656.

It is a perfect power (a square), and thus also a powerful number.

3801462336 is a `hidden beast` number, since 380 + 1 + 46 + 233 + 6 = 666.

It is a super-2 number, since 2×3801462336² = 28902231784053153792, which contains 22 as substring.

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 3801462336.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10358025 + ... + 10358391.

Almost surely, 2^3801462336 is an apocalyptic number.

3801462336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3801462336 is the 61656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3801462336

3801462336 is an abundant number, since it is smaller than the sum of its proper divisors (8908346763).

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

3801462336 is an equidigital number, since it uses as much as digits as its factorization.

3801462336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The cubic root of 3801462336 is about 1560.6908971242.

Multiplying 3801462336 by its sum of digits (36), we get a square (136852644096 = 369936²).

3801462336 divided by its sum of digits (36) gives a square (105596176 = 10276²).

The spelling of 3801462336 in words is "three billion, eight hundred one million, four hundred sixty-two thousand, three hundred thirty-six".