3496892256 has 576 divisors, whose sum is σ = 12612741120. Its totient is φ = 935193600.

The previous prime is 3496892233. The next prime is 3496892263. The reversal of 3496892256 is 6522986943.

It is a happy number.

3496892256 is a `hidden beast` number, since 3 + 496 + 89 + 22 + 56 = 666.

It is a super-3 number, since 3×3496892256³ (a number of 30 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 42131191 + ... + 42131273.

It is an arithmetic number, because the mean of its divisors is an integer number (21897120).

Almost surely, 2^3496892256 is an apocalyptic number.

3496892256 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 3496892256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306370560).

3496892256 is an abundant number, since it is smaller than the sum of its proper divisors (9115848864).

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

3496892256 is a wasteful number, since it uses less digits than its factorization.

3496892256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 143 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 3496892256 is about 59134.5267673632. The cubic root of 3496892256 is about 1517.8449747168.

The spelling of 3496892256 in words is "three billion, four hundred ninety-six million, eight hundred ninety-two thousand, two hundred fifty-six".