3242429190 has 768 divisors, whose sum is σ = 12398690304. Its totient is φ = 587865600.

The previous prime is 3242429189. The next prime is 3242429243. The reversal of 3242429190 is 919242423.

3242429190 is a `hidden beast` number, since 3 + 2 + 42 + 429 + 190 = 666.

It is a super-2 number, since 2×3242429190² = 21026694104328112200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 75405309 + ... + 75405351.

It is an arithmetic number, because the mean of its divisors is an integer number (16144128).

Almost surely, 2^3242429190 is an apocalyptic number.

3242429190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3242429190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6199345152).

3242429190 is an abundant number, since it is smaller than the sum of its proper divisors (9156261114).

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

3242429190 is a wasteful number, since it uses less digits than its factorization.

3242429190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3242429190 is about 56942.3321440209. The cubic root of 3242429190 is about 1480.0969607160.

The spelling of 3242429190 in words is "three billion, two hundred forty-two million, four hundred twenty-nine thousand, one hundred ninety".