3430852416 has 112 divisors (see below), whose sum is σ = 10679460480. Its totient is φ = 1076336640.

The previous prime is 3430852361. The next prime is 3430852483. The reversal of 3430852416 is 6142580343.

3430852416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3430852416³ (a number of 30 digits) contains 333 as substring.

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, 29020 + ... + 87771.

Almost surely, 2^3430852416 is an apocalyptic number.

3430852416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3430852416 is an abundant number, since it is smaller than the sum of its proper divisors (7248608064).

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

3430852416 is a wasteful number, since it uses less digits than its factorization.

3430852416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116829 (or 116813 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3430852416 is about 58573.4787766614. The cubic root of 3430852416 is about 1508.2292029196.

The spelling of 3430852416 in words is "three billion, four hundred thirty million, eight hundred fifty-two thousand, four hundred sixteen".