3437942538240 has 1120 divisors, whose sum is σ = 14193209210400. Its totient is φ = 782757789696.

The previous prime is 3437942538227. The next prime is 3437942538253. The reversal of 3437942538240 is 428352497343.

It is a happy number.

3437942538240 is a `hidden beast` number, since 3 + 4 + 379 + 4 + 25 + 3 + 8 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (3437942538227) and next prime (3437942538253).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13377208192 + ... + 13377208448.

Almost surely, 2^{3437942538240} is an apocalyptic number.

3437942538240 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 3437942538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7096604605200).

3437942538240 is an abundant number, since it is smaller than the sum of its proper divisors (10755266672160).

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

3437942538240 is an frugal number, since it uses more digits than its factorization.

3437942538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 3437942538240 in words is "three trillion, four hundred thirty-seven billion, nine hundred forty-two million, five hundred thirty-eight thousand, two hundred forty".