33929998402020 has 384 divisors, whose sum is σ = 116658759168000. Its totient is φ = 7344993890304.

The previous prime is 33929998401919. The next prime is 33929998402051. The reversal of 33929998402020 is 2020489992933.

It is a super-2 number, since 2×33929998402020² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 1487037652 + ... + 1487060468.

It is an arithmetic number, because the mean of its divisors is an integer number (303798852000).

Almost surely, 2^{33929998402020} is an apocalyptic number.

33929998402020 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 33929998402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58329379584000).

33929998402020 is an abundant number, since it is smaller than the sum of its proper divisors (82728760765980).

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

33929998402020 is a wasteful number, since it uses less digits than its factorization.

33929998402020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26672 (or 26656 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 60.

The spelling of 33929998402020 in words is "thirty-three trillion, nine hundred twenty-nine billion, nine hundred ninety-eight million, four hundred two thousand, twenty".