3458725920 has 336 divisors, whose sum is σ = 13199443992. Its totient is φ = 851005440.

The previous prime is 3458725909. The next prime is 3458725967. The reversal of 3458725920 is 295278543.

3458725920 is a `hidden beast` number, since 3 + 4 + 58 + 7 + 2 + 592 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2330572176 + 1128153744 = 48276^2 + 33588^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1515180 + ... + 1517460.

Almost surely, 2^3458725920 is an apocalyptic number.

3458725920 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 3458725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599721996).

3458725920 is an abundant number, since it is smaller than the sum of its proper divisors (9740718072).

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

3458725920 is a wasteful number, since it uses less digits than its factorization.

3458725920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3458725920 is about 58810.9336773359. The cubic root of 3458725920 is about 1512.3026605001.

The spelling of 3458725920 in words is "three billion, four hundred fifty-eight million, seven hundred twenty-five thousand, nine hundred twenty".