3420155440032 has 144 divisors (see below), whose sum is σ = 9109626573600. Its totient is φ = 1123564271616.

The previous prime is 3420155440027. The next prime is 3420155440043. The reversal of 3420155440032 is 2300445510243.

It is a super-2 number, since 2×3420155440032² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3420155439975 and 3420155440002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1267192219 + ... + 1267194917.

It is an arithmetic number, because the mean of its divisors is an integer number (63261295650).

Almost surely, 2^{3420155440032} is an apocalyptic number.

3420155440032 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 3420155440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554813286800).

3420155440032 is an abundant number, since it is smaller than the sum of its proper divisors (5689471133568).

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

3420155440032 is a wasteful number, since it uses less digits than its factorization.

3420155440032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5335 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 3420155440032 in words is "three trillion, four hundred twenty billion, one hundred fifty-five million, four hundred forty thousand, thirty-two".