3831493202496 has 560 divisors, whose sum is σ = 12355020792576. Its totient is φ = 1169442717696.

The previous prime is 3831493202477. The next prime is 3831493202507. The reversal of 3831493202496 is 6942023941383.

3831493202496 is a `hidden beast` number, since 3 + 8 + 3 + 149 + 3 + 2 + 0 + 2 + 496 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 716566095 + ... + 716571441.

Almost surely, 2^{3831493202496} is an apocalyptic number.

3831493202496 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 3831493202496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177510396288).

3831493202496 is an abundant number, since it is smaller than the sum of its proper divisors (8523527590080).

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

3831493202496 is a wasteful number, since it uses less digits than its factorization.

3831493202496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5608 (or 5589 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 3831493202496 in words is "three trillion, eight hundred thirty-one billion, four hundred ninety-three million, two hundred two thousand, four hundred ninety-six".