3458329992 has 640 divisors, whose sum is σ = 12294374400. Its totient is φ = 895795200.

The previous prime is 3458329981. The next prime is 3458330027. The reversal of 3458329992 is 2999238543.

3458329992 is a `hidden beast` number, since 34 + 583 + 29 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 84349492 + ... + 84349532.

It is an arithmetic number, because the mean of its divisors is an integer number (19209960).

Almost surely, 2^3458329992 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 3458329992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6147187200).

3458329992 is an abundant number, since it is smaller than the sum of its proper divisors (8836044408).

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

3458329992 is a wasteful number, since it uses less digits than its factorization.

3458329992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 126 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 3458329992 is about 58807.5674722225. The cubic root of 3458329992 is about 1512.2449527555.

The spelling of 3458329992 in words is "three billion, four hundred fifty-eight million, three hundred twenty-nine thousand, nine hundred ninety-two".