3835720 has 96 divisors (see below), whose sum is σ = 10670400. Its totient is φ = 1233792.

The previous prime is 3835697. The next prime is 3835747. The reversal of 3835720 is 275383.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37189 + ... + 37291.

It is an arithmetic number, because the mean of its divisors is an integer number (111150).

Almost surely, 2^3835720 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 3835720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335200).

3835720 is an abundant number, since it is smaller than the sum of its proper divisors (6834680).

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

3835720 is a wasteful number, since it uses less digits than its factorization.

3835720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 3835720 is about 1958.4994255807. The cubic root of 3835720 is about 156.5365047351.

The spelling of 3835720 in words is "three million, eight hundred thirty-five thousand, seven hundred twenty".