3401222400 has 351 divisors, whose sum is σ = 12627827401. Its totient is φ = 906992640.

The previous prime is 3401222387. The next prime is 3401222413. The reversal of 3401222400 is 42221043.

The square root of 3401222400 is 58320.

It is a perfect power (a square), and thus also a powerful number.

3401222400 is a `hidden beast` number, since 3 + 40 + 1 + 222 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (3401222387) and next prime (3401222413).

It can be written as a sum of positive squares in only one way, i.e., 1224440064 + 2176782336 = 34992^2 + 46656^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 680244478 + ... + 680244482.

Almost surely, 2^3401222400 is an apocalyptic number.

3401222400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3401222400 is the 58320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401222400

3401222400 is an abundant number, since it is smaller than the sum of its proper divisors (9226605001).

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

3401222400 is an frugal number, since it uses more digits than its factorization.

3401222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The cubic root of 3401222400 is about 1503.8747820905.

Adding to 3401222400 its reverse (42221043), we get a palindrome (3443443443).

The spelling of 3401222400 in words is "three billion, four hundred one million, two hundred twenty-two thousand, four hundred".