3415341400772 has 96 divisors (see below), whose sum is σ = 7040602060800. Its totient is φ = 1419245452800.

The previous prime is 3415341400759. The next prime is 3415341400777. The reversal of 3415341400772 is 2770041435143.

It is not an unprimeable number, because it can be changed into a prime (3415341400777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308879468 + ... + 308890524.

It is an arithmetic number, because the mean of its divisors is an integer number (73339604800).

Almost surely, 2^{3415341400772} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3415341400772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520301030400).

3415341400772 is an abundant number, since it is smaller than the sum of its proper divisors (3625260660028).

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

3415341400772 is a wasteful number, since it uses less digits than its factorization.

3415341400772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12961 (or 12959 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 41.

The spelling of 3415341400772 in words is "three trillion, four hundred fifteen billion, three hundred forty-one million, four hundred thousand, seven hundred seventy-two".