3621175420032 has 96 divisors (see below), whose sum is σ = 10425797270460. Its totient is φ = 1206422784000.

The previous prime is 3621175419977. The next prime is 3621175420033. The reversal of 3621175420032 is 2300245711263.

3621175420032 is a `hidden beast` number, since 3 + 62 + 1 + 175 + 420 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3158525146176 + 462650273856 = 1777224^2 + 680184^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3621175420032² (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 (3621175420033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1363182 + ... + 3016722.

Almost surely, 2^{3621175420032} is an apocalyptic number.

3621175420032 is a gapful number since it is divisible by the number (32) 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 3621175420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212898635230).

3621175420032 is an abundant number, since it is smaller than the sum of its proper divisors (6804621850428).

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

3621175420032 is a wasteful number, since it uses less digits than its factorization.

3621175420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655462 (or 1655447 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 3621175420032 in words is "three trillion, six hundred twenty-one billion, one hundred seventy-five million, four hundred twenty thousand, thirty-two".