36349680 has 80 divisors (see below), whose sum is σ = 113278464. Its totient is φ = 9642240.

The previous prime is 36349661. The next prime is 36349697. The reversal of 36349680 is 8694363.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×36349680² = 2642598472204800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74397 + ... + 74883.

Almost surely, 2^36349680 is an apocalyptic number.

36349680 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 36349680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56639232).

36349680 is an abundant number, since it is smaller than the sum of its proper divisors (76928784).

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

36349680 is a wasteful number, since it uses less digits than its factorization.

36349680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 36349680 is about 6029.0695799601. The cubic root of 36349680 is about 331.2583726375.

The spelling of 36349680 in words is "thirty-six million, three hundred forty-nine thousand, six hundred eighty".