36998434883520 has 1008 divisors, whose sum is σ = 148308072704064. Its totient is φ = 8430320025600.

The previous prime is 36998434883419. The next prime is 36998434883521. The reversal of 36998434883520 is 2538843489963.

It is a happy number.

36998434883520 is a `hidden beast` number, since 3 + 6 + 9 + 98 + 4 + 3 + 4 + 8 + 8 + 3 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36998434883521) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4863731557 + ... + 4863739163.

It is an arithmetic number, because the mean of its divisors is an integer number (147131024508).

Almost surely, 2^{36998434883520} is an apocalyptic number.

36998434883520 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 36998434883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74154036352032).

36998434883520 is an abundant number, since it is smaller than the sum of its proper divisors (111309637820544).

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

36998434883520 is a wasteful number, since it uses less digits than its factorization.

36998434883520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8490 (or 8466 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 36998434883520 in words is "thirty-six trillion, nine hundred ninety-eight billion, four hundred thirty-four million, eight hundred eighty-three thousand, five hundred twenty".