3835370880 has 288 divisors, whose sum is σ = 14560116480. Its totient is φ = 929617920.

The previous prime is 3835370873. The next prime is 3835370897. The reversal of 3835370880 is 880735383.

It is a happy number.

3835370880 is a `hidden beast` number, since 38 + 3 + 537 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 694209 + ... + 699711.

It is an arithmetic number, because the mean of its divisors is an integer number (50555960).

Almost surely, 2^3835370880 is an apocalyptic number.

3835370880 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 3835370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7280058240).

3835370880 is an abundant number, since it is smaller than the sum of its proper divisors (10724745600).

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

3835370880 is a wasteful number, since it uses less digits than its factorization.

3835370880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5550 (or 5524 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3835370880 is about 61930.3712244647. The cubic root of 3835370880 is about 1565.3175537190.

The spelling of 3835370880 in words is "three billion, eight hundred thirty-five million, three hundred seventy thousand, eight hundred eighty".