3424017777400 has 96 divisors (see below), whose sum is σ = 8698106209680. Its totient is φ = 1243154432000.

The previous prime is 3424017777359. The next prime is 3424017777409. The reversal of 3424017777400 is 47777104243.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424017777409) 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, 196182 + ... + 2624218.

Almost surely, 2^{3424017777400} 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 3424017777400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349053104840).

3424017777400 is an abundant number, since it is smaller than the sum of its proper divisors (5274088432280).

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

3424017777400 is a wasteful number, since it uses less digits than its factorization.

3424017777400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428705 (or 2428696 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 46.

The spelling of 3424017777400 in words is "three trillion, four hundred twenty-four billion, seventeen million, seven hundred seventy-seven thousand, four hundred".