3146821416 has 96 divisors (see below), whose sum is σ = 8643024000. Its totient is φ = 1034195712.

The previous prime is 3146821411. The next prime is 3146821487. The reversal of 3146821416 is 6141286413.

3146821416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3146821411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4376305 + ... + 4377023.

It is an arithmetic number, because the mean of its divisors is an integer number (90031500).

Almost surely, 2^3146821416 is an apocalyptic number.

3146821416 is a gapful number since it is divisible by the number (36) 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 3146821416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321512000).

3146821416 is an abundant number, since it is smaller than the sum of its proper divisors (5496202584).

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

3146821416 is a wasteful number, since it uses less digits than its factorization.

3146821416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1496 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3146821416 is about 56096.5365775820. The cubic root of 3146821416 is about 1465.4039765453.

The spelling of 3146821416 in words is "three billion, one hundred forty-six million, eight hundred twenty-one thousand, four hundred sixteen".