3496894240 has 384 divisors, whose sum is σ = 10590289920. Its totient is φ = 1064448000.

The previous prime is 3496894231. The next prime is 3496894301. The reversal of 3496894240 is 424986943.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23158165 + ... + 23158315.

It is an arithmetic number, because the mean of its divisors is an integer number (27578880).

Almost surely, 2^3496894240 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 3496894240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295144960).

3496894240 is an abundant number, since it is smaller than the sum of its proper divisors (7093395680).

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

3496894240 is a wasteful number, since it uses less digits than its factorization.

3496894240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 49.

The square root of 3496894240 is about 59134.5435426706. The cubic root of 3496894240 is about 1517.8452617721.

The spelling of 3496894240 in words is "three billion, four hundred ninety-six million, eight hundred ninety-four thousand, two hundred forty".