3459123720 has 192 divisors, whose sum is σ = 12219807600. Its totient is φ = 843540480.

The previous prime is 3459123677. The next prime is 3459123737. The reversal of 3459123720 is 273219543.

3459123720 is a `hidden beast` number, since 34 + 591 + 2 + 37 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1062629604 + 2396494116 = 32598^2 + 48954^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506730 + ... + 513510.

Almost surely, 2^3459123720 is an apocalyptic number.

3459123720 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 3459123720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109903800).

3459123720 is an abundant number, since it is smaller than the sum of its proper divisors (8760683880).

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

3459123720 is a wasteful number, since it uses less digits than its factorization.

3459123720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6920 (or 6913 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3459123720 is about 58814.3156042812. The cubic root of 3459123720 is about 1512.3606366596.

It can be divided in two parts, 34591 and 23720, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 3459123720 in words is "three billion, four hundred fifty-nine million, one hundred twenty-three thousand, seven hundred twenty".