3430923264 has 176 divisors, whose sum is σ = 10491120640. Its totient is φ = 1106472960.

The previous prime is 3430923217. The next prime is 3430923283. The reversal of 3430923264 is 4623290343.

3430923264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855087 + ... + 859089.

It is an arithmetic number, because the mean of its divisors is an integer number (59608640).

Almost surely, 2^3430923264 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 3430923264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245560320).

3430923264 is an abundant number, since it is smaller than the sum of its proper divisors (7060197376).

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

3430923264 is a wasteful number, since it uses less digits than its factorization.

3430923264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4063 (or 4039 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3430923264 is about 58574.0835523698. The cubic root of 3430923264 is about 1508.2395846240.

The spelling of 3430923264 in words is "three billion, four hundred thirty million, nine hundred twenty-three thousand, two hundred sixty-four".