3491830944 has 360 divisors, whose sum is σ = 12583438560. Its totient is φ = 944504064.

The previous prime is 3491830931. The next prime is 3491830981. The reversal of 3491830944 is 4490381943.

It is a happy number.

It is a super-2 number, since 2×3491830944² = 24385766682951862272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3491830944.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2412429 + ... + 2413875.

It is an arithmetic number, because the mean of its divisors is an integer number (34953996).

Almost surely, 2^3491830944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3491830944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291719280).

3491830944 is an abundant number, since it is smaller than the sum of its proper divisors (9091607616).

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

3491830944 is a wasteful number, since it uses less digits than its factorization.

3491830944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3491830944 is about 59091.7163737863. The cubic root of 3491830944 is about 1517.1123245247.

The spelling of 3491830944 in words is "three billion, four hundred ninety-one million, eight hundred thirty thousand, nine hundred forty-four".