336166740 has 192 divisors, whose sum is σ = 1287390720. Its totient is φ = 70917120.

The previous prime is 336166739. The next prime is 336166741. The reversal of 336166740 is 47661633.

It is a happy number.

336166740 is a `hidden beast` number, since 33 + 616 + 6 + 7 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (336166739) and next prime (336166741).

It is a super-2 number, since 2×336166740² = 226016154164455200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 336166695 and 336166704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336166741) 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, 45720 + ... + 52560.

It is an arithmetic number, because the mean of its divisors is an integer number (6705160).

Almost surely, 2^336166740 is an apocalyptic number.

336166740 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 336166740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643695360).

336166740 is an abundant number, since it is smaller than the sum of its proper divisors (951223980).

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

336166740 is a wasteful number, since it uses less digits than its factorization.

336166740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6879 (or 6871 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 336166740 is about 18334.8504220787. The cubic root of 336166740 is about 695.3203085080.

The spelling of 336166740 in words is "three hundred thirty-six million, one hundred sixty-six thousand, seven hundred forty".