3734100 has 90 divisors (see below), whose sum is σ = 12130734. Its totient is φ = 993600.

The previous prime is 3734083. The next prime is 3734113. The reversal of 3734100 is 14373.

It can be written as a sum of positive squares in 3 ways, for example, as 93636 + 3640464 = 306^2 + 1908^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7870 + ... + 8330.

Almost surely, 2^3734100 is an apocalyptic number.

3734100 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 3734100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065367).

3734100 is an abundant number, since it is smaller than the sum of its proper divisors (8396634).

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

3734100 is a wasteful number, since it uses less digits than its factorization.

3734100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3734100 is about 1932.3819498225. The cubic root of 3734100 is about 155.1417364643.

Adding to 3734100 its reverse (14373), we get a palindrome (3748473).

The spelling of 3734100 in words is "three million, seven hundred thirty-four thousand, one hundred".