3487875047370 has 320 divisors, whose sum is σ = 11230817342976. Its totient is φ = 759395450880.

The previous prime is 3487875047359. The next prime is 3487875047383. The reversal of 3487875047370 is 737405787843.

3487875047370 is a `hidden beast` number, since 3 + 4 + 87 + 87 + 5 + 0 + 473 + 7 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3487875047298 and 3487875047307.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31373322 + ... + 31484298.

Almost surely, 2^{3487875047370} is an apocalyptic number.

3487875047370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3487875047370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5615408671488).

3487875047370 is an abundant number, since it is smaller than the sum of its proper divisors (7742942295606).

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

3487875047370 is a wasteful number, since it uses less digits than its factorization.

3487875047370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111267 (or 111258 counting only the distinct ones).

The product of its (nonzero) digits is 110638080, while the sum is 63.

The spelling of 3487875047370 in words is "three trillion, four hundred eighty-seven billion, eight hundred seventy-five million, forty-seven thousand, three hundred seventy".