3487245182520 has 1024 divisors, whose sum is σ = 12811625625600. Its totient is φ = 755616153600.

The previous prime is 3487245182461. The next prime is 3487245182567. The reversal of 3487245182520 is 252815427843.

It is a super-2 number, since 2×3487245182520² (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 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, 5275710990 + ... + 5275711650.

It is an arithmetic number, because the mean of its divisors is an integer number (12511353150).

Almost surely, 2^{3487245182520} is an apocalyptic number.

3487245182520 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 3487245182520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6405812812800).

3487245182520 is an abundant number, since it is smaller than the sum of its proper divisors (9324380443080).

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

3487245182520 is a wasteful number, since it uses less digits than its factorization.

3487245182520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 51.

The spelling of 3487245182520 in words is "three trillion, four hundred eighty-seven billion, two hundred forty-five million, one hundred eighty-two thousand, five hundred twenty".