33846470460 has 240 divisors, whose sum is σ = 118526550912. Its totient is φ = 8014204800.

The previous prime is 33846470447. The next prime is 33846470509. The reversal of 33846470460 is 6407464833.

It is a super-2 number, since 2×33846470460² (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, 744175 + ... + 788345.

Almost surely, 2^33846470460 is an apocalyptic number.

33846470460 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 33846470460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59263275456).

33846470460 is an abundant number, since it is smaller than the sum of its proper divisors (84680080452).

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

33846470460 is a wasteful number, since it uses less digits than its factorization.

33846470460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44246 (or 44235 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 33846470460 in words is "thirty-three billion, eight hundred forty-six million, four hundred seventy thousand, four hundred sixty".