3401332400 has 60 divisors (see below), whose sum is σ = 8435335104. Its totient is φ = 1316640000.

The previous prime is 3401332387. The next prime is 3401332423. The reversal of 3401332400 is 42331043.

3401332400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 124751 + ... + 149550.

Almost surely, 2^3401332400 is an apocalyptic number.

It is an amenable number.

3401332400 is an abundant number, since it is smaller than the sum of its proper divisors (5034002704).

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

3401332400 is a wasteful number, since it uses less digits than its factorization.

3401332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274350 (or 274339 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3401332400 is about 58320.9430650774. The cubic root of 3401332400 is about 1503.8909943444.

Adding to 3401332400 its reverse (42331043), we get a palindrome (3443663443).

The spelling of 3401332400 in words is "three billion, four hundred one million, three hundred thirty-two thousand, four hundred".