3459750840 has 768 divisors, whose sum is σ = 14892595200. Its totient is φ = 707761152.

The previous prime is 3459750809. The next prime is 3459750841. The reversal of 3459750840 is 480579543.

3459750840 is a `hidden beast` number, since 3 + 4 + 597 + 50 + 8 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3459750841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32334067 + ... + 32334173.

It is an arithmetic number, because the mean of its divisors is an integer number (19391400).

Almost surely, 2^3459750840 is an apocalyptic number.

3459750840 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 3459750840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7446297600).

3459750840 is an abundant number, since it is smaller than the sum of its proper divisors (11432844360).

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

3459750840 is a wasteful number, since it uses less digits than its factorization.

3459750840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

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

The square root of 3459750840 is about 58819.6467177422. The cubic root of 3459750840 is about 1512.4520253435.

The spelling of 3459750840 in words is "three billion, four hundred fifty-nine million, seven hundred fifty thousand, eight hundred forty".