3702000 has 80 divisors (see below), whose sum is σ = 11954592. Its totient is φ = 985600.

The previous prime is 3701983. The next prime is 3702007. The reversal of 3702000 is 2073.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3702007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5692 + ... + 6308.

Almost surely, 2^3702000 is an apocalyptic number.

3702000 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 3702000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5977296).

3702000 is an abundant number, since it is smaller than the sum of its proper divisors (8252592).

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

3702000 is a wasteful number, since it uses less digits than its factorization.

3702000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 3702000 is about 1924.0582111776. The cubic root of 3702000 is about 154.6959004723.

Adding to 3702000 its reverse (2073), we get a palindrome (3704073).

The spelling of 3702000 in words is "three million, seven hundred two thousand".