3449318400 has 396 divisors, whose sum is σ = 13482835704. Its totient is φ = 835584000.

The previous prime is 3449318381. The next prime is 3449318419. The reversal of 3449318400 is 48139443.

It is an interprime number because it is at equal distance from previous prime (3449318381) and next prime (3449318419).

It is a tau number, because it is divible by the number of its divisors (396).

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 35 ways as a sum of consecutive naturals, for example, 2533720 + ... + 2535080.

Almost surely, 2^3449318400 is an apocalyptic number.

3449318400 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 3449318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6741417852).

3449318400 is an abundant number, since it is smaller than the sum of its proper divisors (10033517304).

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

3449318400 is a wasteful number, since it uses less digits than its factorization.

3449318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3449318400 is about 58730.8981712352. The cubic root of 3449318400 is about 1510.9302923460.

The spelling of 3449318400 in words is "three billion, four hundred forty-nine million, three hundred eighteen thousand, four hundred".