35674020 has 180 divisors, whose sum is σ = 120047004. Its totient is φ = 8864640.

The previous prime is 35674019. The next prime is 35674033. The reversal of 35674020 is 2047653.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5731236 + 29942784 = 2394^2 + 5472^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 584790 + ... + 584850.

Almost surely, 2^35674020 is an apocalyptic number.

35674020 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 35674020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60023502).

35674020 is an abundant number, since it is smaller than the sum of its proper divisors (84372984).

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

35674020 is a wasteful number, since it uses less digits than its factorization.

35674020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 35674020 is about 5972.7732252280. The cubic root of 35674020 is about 329.1930697901.

The spelling of 35674020 in words is "thirty-five million, six hundred seventy-four thousand, twenty".