3491983872 has 480 divisors, whose sum is σ = 12011231232. Its totient is φ = 1003290624.

The previous prime is 3491983867. The next prime is 3491983879. The reversal of 3491983872 is 2783891943.

3491983872 is a `hidden beast` number, since 3 + 491 + 9 + 83 + 8 + 72 = 666.

It is a super-2 number, since 2×3491983872² = 24387902724616224768, which contains 22 as substring.

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

Its product of digits (2612736) is a multiple of the sum of its prime divisors (162).

It is not an unprimeable number, because it can be changed into a prime (3491983879) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27495873 + ... + 27495999.

Almost surely, 2^3491983872 is an apocalyptic number.

3491983872 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 3491983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005615616).

3491983872 is an abundant number, since it is smaller than the sum of its proper divisors (8519247360).

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

3491983872 is a wasteful number, since it uses less digits than its factorization.

3491983872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 162 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 3491983872 is about 59093.0103480945. The cubic root of 3491983872 is about 1517.1344719855.

The spelling of 3491983872 in words is "three billion, four hundred ninety-one million, nine hundred eighty-three thousand, eight hundred seventy-two".