3401232000 has 256 divisors, whose sum is σ = 11475734400. Its totient is φ = 890880000.

The previous prime is 3401231963. The next prime is 3401232011. The reversal of 3401232000 is 2321043.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2831400 + ... + 2832600.

Almost surely, 2^3401232000 is an apocalyptic number.

3401232000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3401232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737867200).

3401232000 is an abundant number, since it is smaller than the sum of its proper divisors (8074502400).

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

3401232000 is a wasteful number, since it uses less digits than its factorization.

3401232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3401232000 is about 58320.0823044687. The cubic root of 3401232000 is about 1503.8761969921.

Adding to 3401232000 its reverse (2321043), we get a palindrome (3403553043).

The spelling of 3401232000 in words is "three billion, four hundred one million, two hundred thirty-two thousand".