33748895040 has 448 divisors, whose sum is σ = 132331968000. Its totient is φ = 7259062272.

The previous prime is 33748895039. The next prime is 33748895051. The reversal of 33748895040 is 4059884733.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×33748895040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5594746 + ... + 5600774.

Almost surely, 2^33748895040 is an apocalyptic number.

33748895040 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 33748895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66165984000).

33748895040 is an abundant number, since it is smaller than the sum of its proper divisors (98583072960).

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

33748895040 is a wasteful number, since it uses less digits than its factorization.

33748895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6087 (or 6063 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 33748895040 in words is "thirty-three billion, seven hundred forty-eight million, eight hundred ninety-five thousand, forty".