3466898624 has 112 divisors (see below), whose sum is σ = 7988198400. Its totient is φ = 1462287360.

The previous prime is 3466898579. The next prime is 3466898627. The reversal of 3466898624 is 4268986643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 3466898624.

It is not an unprimeable number, because it can be changed into a prime (3466898627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11147429 + ... + 11147739.

It is an arithmetic number, because the mean of its divisors is an integer number (71323200).

Almost surely, 2^3466898624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3466898624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994099200).

3466898624 is an abundant number, since it is smaller than the sum of its proper divisors (4521299776).

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

3466898624 is a wasteful number, since it uses less digits than its factorization.

3466898624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 636 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 56.

The square root of 3466898624 is about 58880.3755422806. The cubic root of 3466898624 is about 1513.4928752514.

The spelling of 3466898624 in words is "three billion, four hundred sixty-six million, eight hundred ninety-eight thousand, six hundred twenty-four".