35053980 has 72 divisors (see below), whose sum is σ = 106312752. Its totient is φ = 8626176.

The previous prime is 35053973. The next prime is 35053999. The reversal of 35053980 is 8935053.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8412 + ... + 11868.

It is an arithmetic number, because the mean of its divisors is an integer number (1476566).

Almost surely, 2^35053980 is an apocalyptic number.

35053980 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 35053980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53156376).

35053980 is an abundant number, since it is smaller than the sum of its proper divisors (71258772).

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

35053980 is a wasteful number, since it uses less digits than its factorization.

35053980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 35053980 is about 5920.6401680899. The cubic root of 35053980 is about 327.2747086019.

The spelling of 35053980 in words is "thirty-five million, fifty-three thousand, nine hundred eighty".