3449460000 has 480 divisors, whose sum is σ = 13301342208. Its totient is φ = 766080000.

The previous prime is 3449459999. The next prime is 3449460019. The reversal of 3449460000 is 649443.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3449460000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18059905 + ... + 18060095.

Almost surely, 2^3449460000 is an apocalyptic number.

3449460000 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 3449460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6650671104).

3449460000 is an abundant number, since it is smaller than the sum of its proper divisors (9851882208).

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

3449460000 is a wasteful number, since it uses less digits than its factorization.

3449460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3449460000 is about 58732.1036571993. The cubic root of 3449460000 is about 1510.9509674260.

The spelling of 3449460000 in words is "three billion, four hundred forty-nine million, four hundred sixty thousand".