3470606496 has 216 divisors, whose sum is σ = 11531074464. Its totient is φ = 987275520.

The previous prime is 3470606483. The next prime is 3470606509. The reversal of 3470606496 is 6946060743.

3470606496 is a `hidden beast` number, since 34 + 7 + 0 + 606 + 4 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3470606483) and next prime (3470606509).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4670701 + ... + 4671443.

It is an arithmetic number, because the mean of its divisors is an integer number (53384604).

Almost surely, 2^3470606496 is an apocalyptic number.

3470606496 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 3470606496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765537232).

3470606496 is an abundant number, since it is smaller than the sum of its proper divisors (8060467968).

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

3470606496 is a wasteful number, since it uses less digits than its factorization.

3470606496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3470606496 is about 58911.8536119854. The cubic root of 3470606496 is about 1514.0322467010.

The spelling of 3470606496 in words is "three billion, four hundred seventy million, six hundred six thousand, four hundred ninety-six".