3435201264 has 160 divisors (see below), whose sum is σ = 10339338240. Its totient is φ = 972518400.

The previous prime is 3435201247. The next prime is 3435201269. The reversal of 3435201264 is 4621025343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3435201269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471054 + ... + 478290.

It is an arithmetic number, because the mean of its divisors is an integer number (64620864).

Almost surely, 2^3435201264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3435201264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169669120).

3435201264 is an abundant number, since it is smaller than the sum of its proper divisors (6904136976).

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

3435201264 is a wasteful number, since it uses less digits than its factorization.

3435201264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7319 (or 7313 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3435201264 is about 58610.5900328601. The cubic root of 3435201264 is about 1508.8661962330.

The spelling of 3435201264 in words is "three billion, four hundred thirty-five million, two hundred one thousand, two hundred sixty-four".