3459251381040 has 1920 divisors, whose sum is σ = 15864934579200. Its totient is φ = 684745850880.

The previous prime is 3459251381017. The next prime is 3459251381111. The reversal of 3459251381040 is 401831529543.

3459251381040 is a `hidden beast` number, since 3 + 4 + 5 + 92 + 513 + 8 + 1 + 0 + 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 383 ways as a sum of consecutive naturals, for example, 2954099655 + ... + 2954100825.

It is an arithmetic number, because the mean of its divisors is an integer number (8262986760).

Almost surely, 2^{3459251381040} is an apocalyptic number.

3459251381040 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 3459251381040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7932467289600).

3459251381040 is an abundant number, since it is smaller than the sum of its proper divisors (12405683198160).

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

3459251381040 is a wasteful number, since it uses less digits than its factorization.

3459251381040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 3459251381040 in words is "three trillion, four hundred fifty-nine billion, two hundred fifty-one million, three hundred eighty-one thousand, forty".