3401432000 has 112 divisors (see below), whose sum is σ = 8471135712. Its totient is φ = 1352908800.

The previous prime is 3401431997. The next prime is 3401432033. The reversal of 3401432000 is 2341043.

It is a self number, because there is not a number n which added to its sum of digits gives 3401432000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1542899 + ... + 1545101.

Almost surely, 2^3401432000 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 3401432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235567856).

3401432000 is an abundant number, since it is smaller than the sum of its proper divisors (5069703712).

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

3401432000 is a wasteful number, since it uses less digits than its factorization.

3401432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3401432000 is about 58321.7969544835. The cubic root of 3401432000 is about 1503.9056735018.

Adding to 3401432000 its reverse (2341043), we get a palindrome (3403773043).

The spelling of 3401432000 in words is "three billion, four hundred one million, four hundred thirty-two thousand".