3459438000 has 120 divisors (see below), whose sum is σ = 12082726656. Its totient is φ = 922512000.

The previous prime is 3459437999. The next prime is 3459438013. The reversal of 3459438000 is 8349543.

3459438000 is a `hidden beast` number, since 34 + 594 + 38 + 0 + 0 + 0 = 666.

3459438000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3459438000² = 23935422551688000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78096 + ... + 114095.

Almost surely, 2^3459438000 is an apocalyptic number.

3459438000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3459438000 is an abundant number, since it is smaller than the sum of its proper divisors (8623288656).

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

3459438000 is a wasteful number, since it uses less digits than its factorization.

3459438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192220 (or 192201 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3459438000 is about 58816.9873420936. The cubic root of 3459438000 is about 1512.4064373060.

The spelling of 3459438000 in words is "three billion, four hundred fifty-nine million, four hundred thirty-eight thousand".