3835546496 has 64 divisors (see below), whose sum is σ = 7923258000. Its totient is φ = 1847279616.

The previous prime is 3835546489. The next prime is 3835546499. The reversal of 3835546496 is 6946455383.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3835546496² = 29422833845955756032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835546499) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2029520 + ... + 2031408.

Almost surely, 2^3835546496 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 3835546496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961629000).

3835546496 is an abundant number, since it is smaller than the sum of its proper divisors (4087711504).

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

3835546496 is a wasteful number, since it uses less digits than its factorization.

3835546496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2467 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 53.

The square root of 3835546496 is about 61931.7890586087. The cubic root of 3835546496 is about 1565.3414445517.

The spelling of 3835546496 in words is "three billion, eight hundred thirty-five million, five hundred forty-six thousand, four hundred ninety-six".