33478949760 has 384 divisors, whose sum is σ = 112423127040. Its totient is φ = 8470241280.

The previous prime is 33478949731. The next prime is 33478949783. The reversal of 33478949760 is 6794987433.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×33478949760² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33478949694 and 33478949703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123538425 + ... + 123538695.

It is an arithmetic number, because the mean of its divisors is an integer number (292768560).

Almost surely, 2^33478949760 is an apocalyptic number.

33478949760 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 33478949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56211563520).

33478949760 is an abundant number, since it is smaller than the sum of its proper divisors (78944177280).

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

33478949760 is a wasteful number, since it uses less digits than its factorization.

33478949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 33478949760 in words is "thirty-three billion, four hundred seventy-eight million, nine hundred forty-nine thousand, seven hundred sixty".