3534557421600 has 864 divisors, whose sum is σ = 13316087715840. Its totient is φ = 880588800000.

The previous prime is 3534557421589. The next prime is 3534557421653. The reversal of 3534557421600 is 61247554353.

3534557421600 is a `hidden beast` number, since 3 + 5 + 34 + 5 + 5 + 7 + 4 + 2 + 1 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1087219975 + ... + 1087223225.

It is an arithmetic number, because the mean of its divisors is an integer number (15412138560).

Almost surely, 2^{3534557421600} is an apocalyptic number.

3534557421600 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 3534557421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658043857920).

3534557421600 is an abundant number, since it is smaller than the sum of its proper divisors (9781530294240).

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

3534557421600 is a wasteful number, since it uses less digits than its factorization.

3534557421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 3534557421600 in words is "three trillion, five hundred thirty-four billion, five hundred fifty-seven million, four hundred twenty-one thousand, six hundred".