3840097536 has 216 divisors, whose sum is σ = 12144254304. Its totient is φ = 1157345280.

The previous prime is 3840097531. The next prime is 3840097567. The reversal of 3840097536 is 6357900483.

It is a junction number, because it is equal to n+sod(n) for n = 3840097491 and 3840097500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840097531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7020015 + ... + 7020561.

Almost surely, 2^3840097536 is an apocalyptic number.

3840097536 is a gapful number since it is divisible by the number (36) 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 3840097536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6072127152).

3840097536 is an abundant number, since it is smaller than the sum of its proper divisors (8304156768).

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

3840097536 is a wasteful number, since it uses less digits than its factorization.

3840097536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3840097536 is about 61968.5205245373. The cubic root of 3840097536 is about 1565.9603147070.

The spelling of 3840097536 in words is "three billion, eight hundred forty million, ninety-seven thousand, five hundred thirty-six".