3359426400 has 432 divisors, whose sum is σ = 13410266688. Its totient is φ = 813888000.

The previous prime is 3359426393. The next prime is 3359426449. The reversal of 3359426400 is 46249533.

3359426400 is a `hidden beast` number, since 3 + 3 + 5 + 9 + 4 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3359426400² = 22571491474033920000, which contains 22 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 71 ways as a sum of consecutive naturals, for example, 2137615 + ... + 2139185.

It is an arithmetic number, because the mean of its divisors is an integer number (31042284).

Almost surely, 2^3359426400 is an apocalyptic number.

3359426400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3359426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6705133344).

3359426400 is an abundant number, since it is smaller than the sum of its proper divisors (10050840288).

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

3359426400 is a wasteful number, since it uses less digits than its factorization.

3359426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3359426400 is about 57960.5590035155. The cubic root of 3359426400 is about 1497.6892420932.

The spelling of 3359426400 in words is "three billion, three hundred fifty-nine million, four hundred twenty-six thousand, four hundred".