3539382964992 has 1296 divisors, whose sum is σ = 12987305210880. Its totient is φ = 921773260800.

The previous prime is 3539382964979. The next prime is 3539382965003. The reversal of 3539382964992 is 2994692839353.

3539382964992 is a `hidden beast` number, since 3 + 5 + 39 + 382 + 96 + 49 + 92 = 666.

It is a super-2 number, since 2×3539382964992² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3539382964992.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4364220267 + ... + 4364221077.

Almost surely, 2^{3539382964992} is an apocalyptic number.

3539382964992 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 3539382964992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6493652605440).

3539382964992 is an abundant number, since it is smaller than the sum of its proper divisors (9447922245888).

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

3539382964992 is a wasteful number, since it uses less digits than its factorization.

3539382964992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 926 counting only the distinct ones).

The product of its digits is 680244480, while the sum is 72.

The spelling of 3539382964992 in words is "three trillion, five hundred thirty-nine billion, three hundred eighty-two million, nine hundred sixty-four thousand, nine hundred ninety-two".