3431238355440 has 1440 divisors, whose sum is σ = 14747073269760. Its totient is φ = 709657804800.

The previous prime is 3431238355393. The next prime is 3431238355483. The reversal of 3431238355440 is 445538321343.

It is a happy number.

3431238355440 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 23 + 83 + 5 + 544 + 0 = 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 287 ways as a sum of consecutive naturals, for example, 3328067725 + ... + 3328068755.

It is an arithmetic number, because the mean of its divisors is an integer number (10241023104).

Almost surely, 2^{3431238355440} is an apocalyptic number.

3431238355440 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 3431238355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373536634880).

3431238355440 is an abundant number, since it is smaller than the sum of its proper divisors (11315834914320).

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

3431238355440 is a wasteful number, since it uses less digits than its factorization.

3431238355440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 3431238355440 in words is "three trillion, four hundred thirty-one billion, two hundred thirty-eight million, three hundred fifty-five thousand, four hundred forty".