35730000 has 150 divisors (see below), whose sum is σ = 125267714. Its totient is φ = 9504000.

The previous prime is 35729977. The next prime is 35730007. The reversal of 35730000 is 3753.

It can be written as a sum of positive squares in 5 ways, for example, as 11048976 + 24681024 = 3324^2 + 4968^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35730007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89802 + ... + 90198.

Almost surely, 2^35730000 is an apocalyptic number.

35730000 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 35730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62633857).

35730000 is an abundant number, since it is smaller than the sum of its proper divisors (89537714).

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

35730000 is a wasteful number, since it uses less digits than its factorization.

35730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 35730000 is about 5977.4576535514. The cubic root of 35730000 is about 329.3651707307.

Adding to 35730000 its reverse (3753), we get a palindrome (35733753).

The spelling of 35730000 in words is "thirty-five million, seven hundred thirty thousand".