3431957760 has 864 divisors, whose sum is σ = 15290166528. Its totient is φ = 690094080.

The previous prime is 3431957729. The next prime is 3431957777. The reversal of 3431957760 is 677591343.

3431957760 is a `hidden beast` number, since 3 + 4 + 3 + 19 + 577 + 60 = 666.

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 95 ways as a sum of consecutive naturals, for example, 47013084 + ... + 47013156.

It is an arithmetic number, because the mean of its divisors is an integer number (17696952).

Almost surely, 2^3431957760 is an apocalyptic number.

3431957760 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 3431957760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7645083264).

3431957760 is an abundant number, since it is smaller than the sum of its proper divisors (11858208768).

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

3431957760 is a wasteful number, since it uses less digits than its factorization.

3431957760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 3431957760 is about 58582.9135499422. The cubic root of 3431957760 is about 1508.3911581127.

It can be divided in two parts, 3431 and 957760, that added together give a triangular number (961191 = T₁₃₈₆).

The spelling of 3431957760 in words is "three billion, four hundred thirty-one million, nine hundred fifty-seven thousand, seven hundred sixty".