3487370542152 has 256 divisors, whose sum is σ = 11405442816000. Its totient is φ = 864411512832.

The previous prime is 3487370542151. The next prime is 3487370542153. The reversal of 3487370542152 is 2512450737843.

It is an interprime number because it is at equal distance from previous prime (3487370542151) and next prime (3487370542153).

It is a super-2 number, since 2×3487370542152² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 3487370542095 and 3487370542104.

It is not an unprimeable number, because it can be changed into a prime (3487370542151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1139299 + ... + 2876237.

It is an arithmetic number, because the mean of its divisors is an integer number (44552511000).

Almost surely, 2^{3487370542152} 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 3487370542152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702721408000).

3487370542152 is an abundant number, since it is smaller than the sum of its proper divisors (7918072273848).

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

3487370542152 is a wasteful number, since it uses less digits than its factorization.

3487370542152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737028 (or 1737024 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 51.

The spelling of 3487370542152 in words is "three trillion, four hundred eighty-seven billion, three hundred seventy million, five hundred forty-two thousand, one hundred fifty-two".