35394480 has 240 divisors, whose sum is σ = 134053920. Its totient is φ = 8294400.

The previous prime is 35394433. The next prime is 35394487. The reversal of 35394480 is 8449353.

35394480 is a `hidden beast` number, since 3 + 539 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (35394487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324666 + ... + 324774.

It is an arithmetic number, because the mean of its divisors is an integer number (558558).

Almost surely, 2^35394480 is an apocalyptic number.

35394480 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 35394480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67026960).

35394480 is an abundant number, since it is smaller than the sum of its proper divisors (98659440).

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

35394480 is a wasteful number, since it uses less digits than its factorization.

35394480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 35394480 is about 5949.3260122471. The cubic root of 35394480 is about 328.3309667404.

The spelling of 35394480 in words is "thirty-five million, three hundred ninety-four thousand, four hundred eighty".