3493872576 has 112 divisors (see below), whose sum is σ = 10291348480. Its totient is φ = 1162356480.

The previous prime is 3493872533. The next prime is 3493872581. The reversal of 3493872576 is 6752783943.

3493872576 is a `hidden beast` number, since 3 + 4 + 9 + 387 + 257 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1047231 + ... + 1050561.

It is an arithmetic number, because the mean of its divisors is an integer number (91887040).

Almost surely, 2^3493872576 is an apocalyptic number.

3493872576 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 3493872576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145674240).

3493872576 is an abundant number, since it is smaller than the sum of its proper divisors (6797475904).

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

3493872576 is a wasteful number, since it uses less digits than its factorization.

3493872576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3943 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 3493872576 is about 59108.9889610709. The cubic root of 3493872576 is about 1517.4079460909.

The spelling of 3493872576 in words is "three billion, four hundred ninety-three million, eight hundred seventy-two thousand, five hundred seventy-six".