3429192960 has 216 divisors, whose sum is σ = 12489902880. Its totient is φ = 866267136.

The previous prime is 3429192959. The next prime is 3429192971. The reversal of 3429192960 is 692919243.

It is a happy number.

3429192960 is a `hidden beast` number, since 342 + 9 + 19 + 296 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 16.

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, 211047 + ... + 226713.

Almost surely, 2^3429192960 is an apocalyptic number.

3429192960 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 3429192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6244951440).

3429192960 is an abundant number, since it is smaller than the sum of its proper divisors (9060709920).

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

3429192960 is a wasteful number, since it uses less digits than its factorization.

3429192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15713 (or 15696 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 3429192960 is about 58559.3114713621. The cubic root of 3429192960 is about 1507.9859938144.

The spelling of 3429192960 in words is "three billion, four hundred twenty-nine million, one hundred ninety-two thousand, nine hundred sixty".