3835496448 has 336 divisors, whose sum is σ = 13176858240. Its totient is φ = 1092870144.

The previous prime is 3835496447. The next prime is 3835496449. The reversal of 3835496448 is 8446945383.

3835496448 is a `hidden beast` number, since 38 + 3 + 549 + 64 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3835496447) and next prime (3835496449).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3835496448² = 29422066005241233408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3835496394 and 3835496403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835496447) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10450761 + ... + 10451127.

It is an arithmetic number, because the mean of its divisors is an integer number (39216840).

Almost surely, 2^3835496448 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 3835496448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6588429120).

3835496448 is an abundant number, since it is smaller than the sum of its proper divisors (9341361792).

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

3835496448 is an frugal number, since it uses more digits than its factorization.

3835496448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 379 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The square root of 3835496448 is about 61931.3849998529. The cubic root of 3835496448 is about 1565.3346360870.

The spelling of 3835496448 in words is "three billion, eight hundred thirty-five million, four hundred ninety-six thousand, four hundred forty-eight".