35242020 has 192 divisors, whose sum is σ = 127008000. Its totient is φ = 8017920.

The previous prime is 35241971. The next prime is 35242027. The reversal of 35242020 is 2024253.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 35241984 and 35242002.

It is not an unprimeable number, because it can be changed into a prime (35242027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100806 + ... + 101154.

It is an arithmetic number, because the mean of its divisors is an integer number (661500).

Almost surely, 2^35242020 is an apocalyptic number.

35242020 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 35242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504000).

35242020 is an abundant number, since it is smaller than the sum of its proper divisors (91765980).

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

35242020 is a wasteful number, since it uses less digits than its factorization.

35242020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 35242020 is about 5936.4989682472. The cubic root of 35242020 is about 327.8588650184.

Adding to 35242020 its reverse (2024253), we get a palindrome (37266273).

The spelling of 35242020 in words is "thirty-five million, two hundred forty-two thousand, twenty".