3673515212544 has 144 divisors (see below), whose sum is σ = 9827411045760. Its totient is φ = 1218184826880.

The previous prime is 3673515212473. The next prime is 3673515212639. The reversal of 3673515212544 is 4452125153763.

3673515212544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3673515212493 and 3673515212502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670713934 + ... + 670719410.

It is an arithmetic number, because the mean of its divisors is an integer number (68245910040).

Almost surely, 2^{3673515212544} 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 3673515212544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913705522880).

3673515212544 is an abundant number, since it is smaller than the sum of its proper divisors (6153895833216).

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

3673515212544 is a wasteful number, since it uses less digits than its factorization.

3673515212544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9846 (or 9832 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 48.

It can be divided in two parts, 367351521 and 2544, that added together give a triangular number (367354065 = T₂₇₁₀₅).

The spelling of 3673515212544 in words is "three trillion, six hundred seventy-three billion, five hundred fifteen million, two hundred twelve thousand, five hundred forty-four".