3453376464 has 160 divisors (see below), whose sum is σ = 11048400000. Its totient is φ = 1026349056.

The previous prime is 3453376457. The next prime is 3453376489. The reversal of 3453376464 is 4646733543.

3453376464 is a `hidden beast` number, since 3 + 4 + 533 + 76 + 46 + 4 = 666.

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, 127162 + ... + 151910.

It is an arithmetic number, because the mean of its divisors is an integer number (69052500).

Almost surely, 2^3453376464 is an apocalyptic number.

3453376464 is a gapful number since it is divisible by the number (34) 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 3453376464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524200000).

3453376464 is an abundant number, since it is smaller than the sum of its proper divisors (7595023536).

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

3453376464 is a wasteful number, since it uses less digits than its factorization.

3453376464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24802 (or 24790 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 45.

The square root of 3453376464 is about 58765.4359636683. The cubic root of 3453376464 is about 1511.5225879988.

The spelling of 3453376464 in words is "three billion, four hundred fifty-three million, three hundred seventy-six thousand, four hundred sixty-four".