3439351803240 has 512 divisors, whose sum is σ = 12392040960000. Its totient is φ = 845838443520.

The previous prime is 3439351803211. The next prime is 3439351803257. The reversal of 3439351803240 is 423081539343.

3439351803240 is a `hidden beast` number, since 3 + 4 + 3 + 93 + 518 + 0 + 3 + 2 + 40 = 666.

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 127 ways as a sum of consecutive naturals, for example, 124686250 + ... + 124713830.

It is an arithmetic number, because the mean of its divisors is an integer number (24203205000).

Almost surely, 2^{3439351803240} is an apocalyptic number.

3439351803240 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 3439351803240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6196020480000).

3439351803240 is an abundant number, since it is smaller than the sum of its proper divisors (8952689156760).

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

3439351803240 is a wasteful number, since it uses less digits than its factorization.

3439351803240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27782 (or 27772 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 3439351803240 in words is "three trillion, four hundred thirty-nine billion, three hundred fifty-one million, eight hundred three thousand, two hundred forty".