3464654640 has 160 divisors (see below), whose sum is σ = 10971797760. Its totient is φ = 904154112.

The previous prime is 3464654639. The next prime is 3464654653. The reversal of 3464654640 is 464564643.

It is a junction number, because it is equal to n+sod(n) for n = 3464654592 and 3464654601.

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, 4346722 + ... + 4347518.

It is an arithmetic number, because the mean of its divisors is an integer number (68573736).

Almost surely, 2^3464654640 is an apocalyptic number.

3464654640 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 3464654640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485898880).

3464654640 is an abundant number, since it is smaller than the sum of its proper divisors (7507143120).

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

3464654640 is a wasteful number, since it uses less digits than its factorization.

3464654640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The square root of 3464654640 is about 58861.3170087112. The cubic root of 3464654640 is about 1513.1662637579.

The spelling of 3464654640 in words is "three billion, four hundred sixty-four million, six hundred fifty-four thousand, six hundred forty".