3431316480 has 176 divisors, whose sum is σ = 11067555840. Its totient is φ = 907296768.

The previous prime is 3431316467. The next prime is 3431316487. The reversal of 3431316480 is 846131343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431316487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1949841 + ... + 1951599.

It is an arithmetic number, because the mean of its divisors is an integer number (62883840).

Almost surely, 2^3431316480 is an apocalyptic number.

3431316480 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 3431316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533777920).

3431316480 is an abundant number, since it is smaller than the sum of its proper divisors (7636239360).

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

3431316480 is a wasteful number, since it uses less digits than its factorization.

3431316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3431316480 is about 58577.4400260032. The cubic root of 3431316480 is about 1508.2972018925.

The spelling of 3431316480 in words is "three billion, four hundred thirty-one million, three hundred sixteen thousand, four hundred eighty".