3434020400 has 120 divisors (see below), whose sum is σ = 8766626400. Its totient is φ = 1288212480.

The previous prime is 3434020399. The next prime is 3434020441. The reversal of 3434020400 is 40204343.

It is a happy number.

It is a super-2 number, since 2×3434020400² = 23584992215232320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2372477 + ... + 2373923.

It is an arithmetic number, because the mean of its divisors is an integer number (73055220).

Almost surely, 2^3434020400 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 3434020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383313200).

3434020400 is an abundant number, since it is smaller than the sum of its proper divisors (5332606000).

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

3434020400 is a wasteful number, since it uses less digits than its factorization.

3434020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3434020400 is about 58600.5153560956. The cubic root of 3434020400 is about 1508.6932835139.

Adding to 3434020400 its reverse (40204343), we get a palindrome (3474224743).

The spelling of 3434020400 in words is "three billion, four hundred thirty-four million, twenty thousand, four hundred".