3487240373760 has 2560 divisors, whose sum is σ = 15838986240000. Its totient is φ = 714247372800.

The previous prime is 3487240373681. The next prime is 3487240373797. The reversal of 3487240373760 is 673730427843.

It is a happy number.

3487240373760 is a `hidden beast` number, since 3 + 48 + 72 + 403 + 73 + 7 + 60 = 666.

3487240373760 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 (2560).

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

It is a junction number, because it is equal to n+sod(n) for n = 3487240373697 and 3487240373706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5821769941 + ... + 5821770539.

It is an arithmetic number, because the mean of its divisors is an integer number (6187104000).

Almost surely, 2^{3487240373760} is an apocalyptic number.

3487240373760 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 3487240373760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7919493120000).

3487240373760 is an abundant number, since it is smaller than the sum of its proper divisors (12351745866240).

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

3487240373760 is a wasteful number, since it uses less digits than its factorization.

3487240373760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 3487240373760 in words is "three trillion, four hundred eighty-seven billion, two hundred forty million, three hundred seventy-three thousand, seven hundred sixty".