3385262496 has 576 divisors, whose sum is σ = 12355338240. Its totient is φ = 790732800.

The previous prime is 3385262453. The next prime is 3385262501. The reversal of 3385262496 is 6942625833.

It is a super-2 number, since 2×3385262496² = 22920004333648300032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 42851385 + ... + 42851463.

It is an arithmetic number, because the mean of its divisors is an integer number (21450240).

Almost surely, 2^3385262496 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 3385262496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177669120).

3385262496 is an abundant number, since it is smaller than the sum of its proper divisors (8970075744).

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

3385262496 is a wasteful number, since it uses less digits than its factorization.

3385262496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The square root of 3385262496 is about 58183.0086537298. The cubic root of 3385262496 is about 1501.5188313596.

The spelling of 3385262496 in words is "three billion, three hundred eighty-five million, two hundred sixty-two thousand, four hundred ninety-six".