3479414400 has 768 divisors, whose sum is σ = 15906124800. Its totient is φ = 721612800.

The previous prime is 3479414377. The next prime is 3479414423. The reversal of 3479414400 is 44149743.

It is an interprime number because it is at equal distance from previous prime (3479414377) and next prime (3479414423).

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, 6652539 + ... + 6653061.

It is an arithmetic number, because the mean of its divisors is an integer number (20711100).

Almost surely, 2^3479414400 is an apocalyptic number.

3479414400 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 3479414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7953062400).

3479414400 is an abundant number, since it is smaller than the sum of its proper divisors (12426710400).

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

3479414400 is a wasteful number, since it uses less digits than its factorization.

3479414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3479414400 is about 58986.5611813403. The cubic root of 3479414400 is about 1515.3119639895.

It can be divided in two parts, 34794 and 14400, that added together give a palindrome (49194).

The spelling of 3479414400 in words is "three billion, four hundred seventy-nine million, four hundred fourteen thousand, four hundred".