3411840953136 has 320 divisors, whose sum is σ = 11153680404480. Its totient is φ = 872987642880.

The previous prime is 3411840953099. The next prime is 3411840953159. The reversal of 3411840953136 is 6313590481143.

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 63 ways as a sum of consecutive naturals, for example, 70765390 + ... + 70813586.

It is an arithmetic number, because the mean of its divisors is an integer number (34855251264).

Almost surely, 2^{3411840953136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3411840953136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576840202240).

3411840953136 is an abundant number, since it is smaller than the sum of its proper divisors (7741839451344).

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

3411840953136 is a wasteful number, since it uses less digits than its factorization.

3411840953136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48512 (or 48506 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 3411840953136 in words is "three trillion, four hundred eleven billion, eight hundred forty million, nine hundred fifty-three thousand, one hundred thirty-six".