3487350254904 has 256 divisors, whose sum is σ = 10110378009600. Its totient is φ = 1112742489600.

The previous prime is 3487350254891. The next prime is 3487350254911. The reversal of 3487350254904 is 4094520537843.

3487350254904 is a `hidden beast` number, since 3 + 4 + 87 + 3 + 50 + 25 + 490 + 4 = 666.

It is a super-2 number, since 2×3487350254904² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278602854 + ... + 278615370.

It is an arithmetic number, because the mean of its divisors is an integer number (39493664100).

Almost surely, 2^{3487350254904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3487350254904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055189004800).

3487350254904 is an abundant number, since it is smaller than the sum of its proper divisors (6623027754696).

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

3487350254904 is a wasteful number, since it uses less digits than its factorization.

3487350254904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13131 (or 13121 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 3487350254904 in words is "three trillion, four hundred eighty-seven billion, three hundred fifty million, two hundred fifty-four thousand, nine hundred four".