3797840 has 40 divisors (see below), whose sum is σ = 9140040. Its totient is φ = 1465856.

The previous prime is 3797837. The next prime is 3797863. The reversal of 3797840 is 487973.

It can be written as a sum of positive squares in 4 ways, for example, as 3136 + 3794704 = 56^2 + 1948^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 3797794 and 3797803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1502 + ... + 3138.

It is an arithmetic number, because the mean of its divisors is an integer number (228501).

Almost surely, 2^3797840 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 3797840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570020).

3797840 is an abundant number, since it is smaller than the sum of its proper divisors (5342200).

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

3797840 is a wasteful number, since it uses less digits than its factorization.

3797840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 3797840 is about 1948.8047618989. The cubic root of 3797840 is about 156.0195022736.

The spelling of 3797840 in words is "three million, seven hundred ninety-seven thousand, eight hundred forty".