3800844641520 has 1200 divisors, whose sum is σ = 14530277627712. Its totient is φ = 917422571520.

The previous prime is 3800844641509. The next prime is 3800844641551. The reversal of 3800844641520 is 251464480083.

3800844641520 is a `hidden beast` number, since 3 + 8 + 0 + 0 + 84 + 4 + 6 + 41 + 520 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21970200154 + ... + 21970200326.

Almost surely, 2^{3800844641520} is an apocalyptic number.

3800844641520 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 3800844641520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265138813856).

3800844641520 is an abundant number, since it is smaller than the sum of its proper divisors (10729432986192).

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

3800844641520 is a wasteful number, since it uses less digits than its factorization.

3800844641520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 3800844641520 in words is "three trillion, eight hundred billion, eight hundred forty-four million, six hundred forty-one thousand, five hundred twenty".