3490509456 has 320 divisors, whose sum is σ = 12221440000. Its totient is φ = 931627008.

The previous prime is 3490509419. The next prime is 3490509467. The reversal of 3490509456 is 6549050943.

3490509456 is a `hidden beast` number, since 3 + 4 + 90 + 509 + 4 + 56 = 666.

It is an alternating number because its digits alternate between odd and even.

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, 4538640 + ... + 4539408.

It is an arithmetic number, because the mean of its divisors is an integer number (38192000).

Almost surely, 2^3490509456 is an apocalyptic number.

3490509456 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 3490509456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6110720000).

3490509456 is an abundant number, since it is smaller than the sum of its proper divisors (8730930544).

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

3490509456 is a wasteful number, since it uses less digits than its factorization.

3490509456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3490509456 is about 59080.5336468790. The cubic root of 3490509456 is about 1516.9209159935.

The spelling of 3490509456 in words is "three billion, four hundred ninety million, five hundred nine thousand, four hundred fifty-six".