3466958400 has 252 divisors, whose sum is σ = 12499628544. Its totient is φ = 911232000.

The previous prime is 3466958399. The next prime is 3466958437. The reversal of 3466958400 is 48596643.

3466958400 is a `hidden beast` number, since 3 + 4 + 6 + 69 + 584 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1020705 + ... + 1024095.

Almost surely, 2^3466958400 is an apocalyptic number.

3466958400 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 3466958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249814272).

3466958400 is an abundant number, since it is smaller than the sum of its proper divisors (9032670144).

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

3466958400 is a wasteful number, since it uses less digits than its factorization.

3466958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3472 counting only the distinct ones).

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

The square root of 3466958400 is about 58880.8831455507. The cubic root of 3466958400 is about 1513.5015737107.

The spelling of 3466958400 in words is "three billion, four hundred sixty-six million, nine hundred fifty-eight thousand, four hundred".