3431389680 has 240 divisors, whose sum is σ = 11892497760. Its totient is φ = 886136832.

The previous prime is 3431389613. The next prime is 3431389697. The reversal of 3431389680 is 869831343.

3431389680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4241116 + ... + 4241924.

It is an arithmetic number, because the mean of its divisors is an integer number (49552074).

Almost surely, 2^3431389680 is an apocalyptic number.

3431389680 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 3431389680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946248880).

3431389680 is an abundant number, since it is smaller than the sum of its proper divisors (8461108080).

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

3431389680 is a wasteful number, since it uses less digits than its factorization.

3431389680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3431389680 is about 58578.0648365922. The cubic root of 3431389680 is about 1508.3079272774.

The spelling of 3431389680 in words is "three billion, four hundred thirty-one million, three hundred eighty-nine thousand, six hundred eighty".