3434126885280 has 1536 divisors, whose sum is σ = 15722452408320. Its totient is φ = 679371079680.

The previous prime is 3434126885257. The next prime is 3434126885341. The reversal of 3434126885280 is 825886214343.

3434126885280 is a `hidden beast` number, since 3 + 4 + 34 + 1 + 2 + 6 + 88 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2118522870 + ... + 2118524490.

It is an arithmetic number, because the mean of its divisors is an integer number (10235971620).

Almost surely, 2^{3434126885280} is an apocalyptic number.

3434126885280 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 3434126885280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861226204160).

3434126885280 is an abundant number, since it is smaller than the sum of its proper divisors (12288325523040).

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

3434126885280 is a wasteful number, since it uses less digits than its factorization.

3434126885280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 3434126885280 in words is "three trillion, four hundred thirty-four billion, one hundred twenty-six million, eight hundred eighty-five thousand, two hundred eighty".