3466402560 has 288 divisors, whose sum is σ = 12950784000. Its totient is φ = 875556864.

The previous prime is 3466402549. The next prime is 3466402571. The reversal of 3466402560 is 652046643.

3466402560 is a `hidden beast` number, since 3 + 4 + 6 + 640 + 2 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3466402549) and next prime (3466402571).

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 654001 + ... + 659279.

It is an arithmetic number, because the mean of its divisors is an integer number (44968000).

Almost surely, 2^3466402560 is an apocalyptic number.

3466402560 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 3466402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6475392000).

3466402560 is an abundant number, since it is smaller than the sum of its proper divisors (9484381440).

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

3466402560 is a wasteful number, since it uses less digits than its factorization.

3466402560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5328 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3466402560 is about 58876.1629184511. The cubic root of 3466402560 is about 1513.4206853565.

The spelling of 3466402560 in words is "three billion, four hundred sixty-six million, four hundred two thousand, five hundred sixty".