33688138140 has 240 divisors, whose sum is σ = 109000850112. Its totient is φ = 8703396864.

The previous prime is 33688138117. The next prime is 33688138153. The reversal of 33688138140 is 4183188633.

It is a super-2 number, since 2×33688138140² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15763152 + ... + 15765288.

Almost surely, 2^33688138140 is an apocalyptic number.

33688138140 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 33688138140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54500425056).

33688138140 is an abundant number, since it is smaller than the sum of its proper divisors (75312711972).

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

33688138140 is a wasteful number, since it uses less digits than its factorization.

33688138140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 33688138140 in words is "thirty-three billion, six hundred eighty-eight million, one hundred thirty-eight thousand, one hundred forty".