33874863660 has 384 divisors, whose sum is σ = 119233658880. Its totient is φ = 7913030400.

The previous prime is 33874863643. The next prime is 33874863689. The reversal of 33874863660 is 6636847833.

It is a super-2 number, since 2×33874863660² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 33874863597 and 33874863606.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18704155 + ... + 18705965.

It is an arithmetic number, because the mean of its divisors is an integer number (310504320).

Almost surely, 2^33874863660 is an apocalyptic number.

33874863660 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 33874863660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59616829440).

33874863660 is an abundant number, since it is smaller than the sum of its proper divisors (85358795220).

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

33874863660 is a wasteful number, since it uses less digits than its factorization.

33874863660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 33874863660 in words is "thirty-three billion, eight hundred seventy-four million, eight hundred sixty-three thousand, six hundred sixty".