3896793600 has 720 divisors, whose sum is σ = 15907240800. Its totient is φ = 836075520.

The previous prime is 3896793599. The next prime is 3896793617. The reversal of 3896793600 is 63976983.

It is a happy number.

It is a super-2 number, since 2×3896793600² = 30370000722001920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35750346 + ... + 35750454.

It is an arithmetic number, because the mean of its divisors is an integer number (22093390).

Almost surely, 2^3896793600 is an apocalyptic number.

3896793600 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 3896793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7953620400).

3896793600 is an abundant number, since it is smaller than the sum of its proper divisors (12010447200).

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

3896793600 is a wasteful number, since it uses less digits than its factorization.

3896793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The square root of 3896793600 is about 62424.3029596647. The cubic root of 3896793600 is about 1573.6294249468.

The spelling of 3896793600 in words is "three billion, eight hundred ninety-six million, seven hundred ninety-three thousand, six hundred".