33400673280 has 396 divisors, whose sum is σ = 125348986620. Its totient is φ = 8219787264.

The previous prime is 33400673261. The next prime is 33400673351. The reversal of 33400673280 is 8237600433.

It can be written as a sum of positive squares in 6 ways, for example, as 1207701504 + 32192971776 = 34752^2 + 179424^2 .

It is a super-2 number, since 2×33400673280² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7785376 + ... + 7789664.

It is an arithmetic number, because the mean of its divisors is an integer number (316537845).

Almost surely, 2^33400673280 is an apocalyptic number.

33400673280 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 33400673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62674493310).

33400673280 is an abundant number, since it is smaller than the sum of its proper divisors (91948313340).

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

33400673280 is a wasteful number, since it uses less digits than its factorization.

33400673280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 33400673280 in words is "thirty-three billion, four hundred million, six hundred seventy-three thousand, two hundred eighty".