3460976640 has 416 divisors, whose sum is σ = 13446345600. Its totient is φ = 837550080.

The previous prime is 3460976627. The next prime is 3460976653. The reversal of 3460976640 is 466790643.

3460976640 is a `hidden beast` number, since 3 + 460 + 97 + 66 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3460976627) and next prime (3460976653).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6082276 + ... + 6082844.

Almost surely, 2^3460976640 is an apocalyptic number.

3460976640 is a gapful number since it is divisible by the number (30) 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 3460976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6723172800).

3460976640 is an abundant number, since it is smaller than the sum of its proper divisors (9985368960).

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

3460976640 is a wasteful number, since it uses less digits than its factorization.

3460976640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 590 counting only the distinct ones).

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

The square root of 3460976640 is about 58830.0657827271. The cubic root of 3460976640 is about 1512.6306263340.

It can be divided in two parts, 3460 and 976640, that added together give a square (980100 = 990²).

The spelling of 3460976640 in words is "three billion, four hundred sixty million, nine hundred seventy-six thousand, six hundred forty".