36838314240 has 576 divisors, whose sum is σ = 147949756416. Its totient is φ = 7603716096.

The previous prime is 36838314239. The next prime is 36838314299. The reversal of 36838314240 is 4241383863.

It is a super-2 number, since 2×36838314240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 36838314192 and 36838314201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16422559 + ... + 16424801.

It is an arithmetic number, because the mean of its divisors is an integer number (256857216).

Almost surely, 2^36838314240 is an apocalyptic number.

36838314240 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 36838314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73974878208).

36838314240 is an abundant number, since it is smaller than the sum of its proper divisors (111111442176).

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

36838314240 is a wasteful number, since it uses less digits than its factorization.

36838314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 36838314240 in words is "thirty-six billion, eight hundred thirty-eight million, three hundred fourteen thousand, two hundred forty".