3513492864 has 288 divisors, whose sum is σ = 11949514200. Its totient is φ = 987807744.

The previous prime is 3513492859. The next prime is 3513492869. The reversal of 3513492864 is 4682943153.

It is an interprime number because it is at equal distance from previous prime (3513492859) and next prime (3513492869).

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3513492869) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3781552 + ... + 3782480.

Almost surely, 2^3513492864 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 3513492864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974757100).

3513492864 is an abundant number, since it is smaller than the sum of its proper divisors (8436021336).

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

3513492864 is a wasteful number, since it uses less digits than its factorization.

3513492864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1008 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 3513492864 is about 59274.7236518231. The cubic root of 3513492864 is about 1520.2430451613.

The spelling of 3513492864 in words is "three billion, five hundred thirteen million, four hundred ninety-two thousand, eight hundred sixty-four".