3457074581040 has 640 divisors, whose sum is σ = 11797782036480. Its totient is φ = 834944495616.

The previous prime is 3457074581033. The next prime is 3457074581111. The reversal of 3457074581040 is 401854707543.

3457074581040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1859321²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1215993859 + ... + 1215996701.

It is an arithmetic number, because the mean of its divisors is an integer number (18434034432).

Almost surely, 2^{3457074581040} is an apocalyptic number.

3457074581040 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 3457074581040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898891018240).

3457074581040 is an abundant number, since it is smaller than the sum of its proper divisors (8340707455440).

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

3457074581040 is a wasteful number, since it uses less digits than its factorization.

3457074581040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 3457074581040 in words is "three trillion, four hundred fifty-seven billion, seventy-four million, five hundred eighty-one thousand, forty".