35750400 has 360 divisors, whose sum is σ = 144611280. Its totient is φ = 7741440.

The previous prime is 35750389. The next prime is 35750413. The reversal of 35750400 is 405753.

It is a super-2 number, since 2×35750400² = 2556182200320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1881591 + ... + 1881609.

It is an arithmetic number, because the mean of its divisors is an integer number (401698).

Almost surely, 2^35750400 is an apocalyptic number.

35750400 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 35750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72305640).

35750400 is an abundant number, since it is smaller than the sum of its proper divisors (108860880).

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

35750400 is a wasteful number, since it uses less digits than its factorization.

35750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 35750400 is about 5979.1638211375. The cubic root of 35750400 is about 329.4278423525.

The spelling of 35750400 in words is "thirty-five million, seven hundred fifty thousand, four hundred".