3797800 has 48 divisors (see below), whose sum is σ = 9357660. Its totient is φ = 1428480.

The previous prime is 3797797. The next prime is 3797809. The reversal of 3797800 is 87973.

3797800 = T₂₈₀ + T₂₈₁ + ... + T₃₅₄.

It can be written as a sum of positive squares in 6 ways, for example, as 887364 + 2910436 = 942^2 + 1706^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (3797809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2842 + ... + 3958.

Almost surely, 2^3797800 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 3797800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678830).

3797800 is an abundant number, since it is smaller than the sum of its proper divisors (5559860).

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

3797800 is a wasteful number, since it uses less digits than its factorization.

3797800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 3797800 is about 1948.7944991712. The cubic root of 3797800 is about 156.0189545235.

The spelling of 3797800 in words is "three million, seven hundred ninety-seven thousand, eight hundred".