35394240 has 224 divisors, whose sum is σ = 134599680. Its totient is φ = 7704576.

The previous prime is 35394223. The next prime is 35394241. The reversal of 35394240 is 4249353.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 35394198 and 35394207.

It is not an unprimeable number, because it can be changed into a prime (35394241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154446 + ... + 154674.

Almost surely, 2^35394240 is an apocalyptic number.

35394240 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 35394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67299840).

35394240 is an abundant number, since it is smaller than the sum of its proper divisors (99205440).

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

35394240 is a wasteful number, since it uses less digits than its factorization.

35394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 35394240 is about 5949.3058418609. The cubic root of 35394240 is about 328.3302246321.

The spelling of 35394240 in words is "thirty-five million, three hundred ninety-four thousand, two hundred forty".