3401431000 has 96 divisors (see below), whose sum is σ = 8749016640. Its totient is φ = 1236840000.

The previous prime is 3401430973. The next prime is 3401431013. The reversal of 3401431000 is 1341043.

It is a super-2 number, since 2×3401431000² = 23139465695522000000, which contains 22 as substring.

It is a congruent number.

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, 106945 + ... + 135055.

It is an arithmetic number, because the mean of its divisors is an integer number (91135590).

Almost surely, 2^3401431000 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 3401431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374508320).

3401431000 is an abundant number, since it is smaller than the sum of its proper divisors (5347585640).

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

3401431000 is a wasteful number, since it uses less digits than its factorization.

3401431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28154 (or 28129 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3401431000 is about 58321.7883813588. The cubic root of 3401431000 is about 1503.9055261221.

Adding to 3401431000 its reverse (1341043), we get a palindrome (3402772043).

It can be divided in two parts, 340143 and 1000, that added together give a palindrome (341143).

The spelling of 3401431000 in words is "three billion, four hundred one million, four hundred thirty-one thousand".