3835698965280 has 1152 divisors, whose sum is σ = 16865229749760. Its totient is φ = 807021895680.

The previous prime is 3835698965251. The next prime is 3835698965291. The reversal of 3835698965280 is 825698965383.

3835698965280 is a `hidden beast` number, since 3 + 8 + 3 + 5 + 6 + 9 + 8 + 96 + 528 + 0 = 666.

3835698965280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3835698965199 and 3835698965208.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1092478725 + ... + 1092482235.

It is an arithmetic number, because the mean of its divisors is an integer number (14639956380).

Almost surely, 2^{3835698965280} is an apocalyptic number.

3835698965280 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 3835698965280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8432614874880).

3835698965280 is an abundant number, since it is smaller than the sum of its proper divisors (13029530784480).

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

3835698965280 is a wasteful number, since it uses less digits than its factorization.

3835698965280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 72.

The spelling of 3835698965280 in words is "three trillion, eight hundred thirty-five billion, six hundred ninety-eight million, nine hundred sixty-five thousand, two hundred eighty".