3411420779520 has 2112 divisors, whose sum is σ = 14735971111680. Its totient is φ = 747594842112.

The previous prime is 3411420779519. The next prime is 3411420779549. The reversal of 3411420779520 is 259770241143.

3411420779520 is a `hidden beast` number, since 3 + 4 + 11 + 42 + 0 + 7 + 79 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5224227514 + ... + 5224228166.

Almost surely, 2^{3411420779520} is an apocalyptic number.

3411420779520 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 3411420779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7367985555840).

3411420779520 is an abundant number, since it is smaller than the sum of its proper divisors (11324550332160).

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

3411420779520 is a wasteful number, since it uses less digits than its factorization.

3411420779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 3411420779520 in words is "three trillion, four hundred eleven billion, four hundred twenty million, seven hundred seventy-nine thousand, five hundred twenty".