3400257255120 has 240 divisors, whose sum is σ = 12459888230400. Its totient is φ = 824133934080.

The previous prime is 3400257255091. The next prime is 3400257255139. The reversal of 3400257255120 is 215527520043.

3400257255120 is a `hidden beast` number, since 34 + 0 + 0 + 2 + 5 + 72 + 551 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 40500546 + ... + 40584414.

It is an arithmetic number, because the mean of its divisors is an integer number (51916200960).

Almost surely, 2^{3400257255120} is an apocalyptic number.

3400257255120 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 3400257255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6229944115200).

3400257255120 is an abundant number, since it is smaller than the sum of its proper divisors (9059630975280).

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

3400257255120 is a wasteful number, since it uses less digits than its factorization.

3400257255120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89018 (or 89009 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 3400257255120 in words is "three trillion, four hundred billion, two hundred fifty-seven million, two hundred fifty-five thousand, one hundred twenty".