3504085401600 has 2280 divisors, whose sum is σ = 15858666730368. Its totient is φ = 747424972800.

The previous prime is 3504085401589. The next prime is 3504085401601. The reversal of 3504085401600 is 61045804053.

It is a happy number.

3504085401600 is a `hidden beast` number, since 3 + 5 + 0 + 4 + 0 + 8 + 5 + 40 + 1 + 600 = 666.

It is a super-2 number, since 2×3504085401600² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3504085401601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 85465497580 + ... + 85465497620.

Almost surely, 2^{3504085401600} is an apocalyptic number.

3504085401600 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 3504085401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7929333365184).

3504085401600 is an abundant number, since it is smaller than the sum of its proper divisors (12354581328768).

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

3504085401600 is an frugal number, since it uses more digits than its factorization.

3504085401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 3504085401600 in words is "three trillion, five hundred four billion, eighty-five million, four hundred one thousand, six hundred".