3465806400 has 672 divisors, whose sum is σ = 14730049280. Its totient is φ = 776355840.

The previous prime is 3465806341. The next prime is 3465806419. The reversal of 3465806400 is 46085643.

3465806400 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 8 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 22075122 + ... + 22075278.

Almost surely, 2^3465806400 is an apocalyptic number.

3465806400 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 3465806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7365024640).

3465806400 is an abundant number, since it is smaller than the sum of its proper divisors (11264242880).

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

3465806400 is a wasteful number, since it uses less digits than its factorization.

3465806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 247 counting only the distinct ones).

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

The square root of 3465806400 is about 58871.0998708195. The cubic root of 3465806400 is about 1513.3339198421. Note that the first 3 decimals are identical.

The spelling of 3465806400 in words is "three billion, four hundred sixty-five million, eight hundred six thousand, four hundred".