35574240 has 96 divisors (see below), whose sum is σ = 120699936. Its totient is φ = 8755200.

The previous prime is 35574223. The next prime is 35574247. The reversal of 35574240 is 4247553.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 35574198 and 35574207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35574247) 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, 3390 + ... + 9090.

It is an arithmetic number, because the mean of its divisors is an integer number (1257291).

Almost surely, 2^35574240 is an apocalyptic number.

35574240 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 35574240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60349968).

35574240 is an abundant number, since it is smaller than the sum of its proper divisors (85125696).

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

35574240 is a wasteful number, since it uses less digits than its factorization.

35574240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5732 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 35574240 is about 5964.4144725195. The cubic root of 35574240 is about 328.8858662439.

The spelling of 35574240 in words is "thirty-five million, five hundred seventy-four thousand, two hundred forty".