3801834970560 has 672 divisors, whose sum is σ = 14747948826624. Its totient is φ = 890578944000.

The previous prime is 3801834970499. The next prime is 3801834970573. The reversal of 3801834970560 is 650794381083.

3801834970560 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 8 + 3 + 4 + 9 + 70 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3801834970497 and 3801834970506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 747360337 + ... + 747365423.

Almost surely, 2^{3801834970560} is an apocalyptic number.

3801834970560 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 3801834970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373974413312).

3801834970560 is an abundant number, since it is smaller than the sum of its proper divisors (10946113856064).

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

3801834970560 is a wasteful number, since it uses less digits than its factorization.

3801834970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5913 (or 5900 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3801834970560 in words is "three trillion, eight hundred one billion, eight hundred thirty-four million, nine hundred seventy thousand, five hundred sixty".