3496263264 has 480 divisors, whose sum is σ = 12021166080. Its totient is φ = 987614208.

The previous prime is 3496263223. The next prime is 3496263269. The reversal of 3496263264 is 4623626943.

3496263264 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 2 + 632 + 6 + 4 = 666.

It is a super-2 number, since 2×3496263264² = 24447713622391867392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3496263269) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27529569 + ... + 27529695.

It is an arithmetic number, because the mean of its divisors is an integer number (25044096).

Almost surely, 2^3496263264 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 3496263264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010583040).

3496263264 is an abundant number, since it is smaller than the sum of its proper divisors (8524902816).

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

3496263264 is a wasteful number, since it uses less digits than its factorization.

3496263264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 207 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 3496263264 is about 59129.2082138768. The cubic root of 3496263264 is about 1517.7539634680.

The spelling of 3496263264 in words is "three billion, four hundred ninety-six million, two hundred sixty-three thousand, two hundred sixty-four".