3414064400 has 120 divisors (see below), whose sum is σ = 8678983200. Its totient is φ = 1287014400.

The previous prime is 3414064399. The next prime is 3414064403. The reversal of 3414064400 is 44604143.

It is a self number, because there is not a number n which added to its sum of digits gives 3414064400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414064403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1602536 + ... + 1604664.

It is an arithmetic number, because the mean of its divisors is an integer number (72324860).

Almost surely, 2^3414064400 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 3414064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4339491600).

3414064400 is an abundant number, since it is smaller than the sum of its proper divisors (5264918800).

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

3414064400 is a wasteful number, since it uses less digits than its factorization.

3414064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 3414064400 is about 58429.9957213758. The cubic root of 3414064400 is about 1505.7651322976.

Adding to 3414064400 its reverse (44604143), we get a palindrome (3458668543).

The spelling of 3414064400 in words is "three billion, four hundred fourteen million, sixty-four thousand, four hundred".