34988163840 has 1080 divisors, whose sum is σ = 149207601312. Its totient is φ = 7803371520.

The previous prime is 34988163827. The next prime is 34988163853. The reversal of 34988163840 is 4836188943.

34988163840 is a `hidden beast` number, since 3 + 498 + 81 + 6 + 38 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (34988163827) and next prime (34988163853).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-3 number, since 3×34988163840³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 360702672 + ... + 360702768.

Almost surely, 2^34988163840 is an apocalyptic number.

34988163840 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 34988163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74603800656).

34988163840 is an abundant number, since it is smaller than the sum of its proper divisors (114219437472).

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

34988163840 is an equidigital number, since it uses as much as digits as its factorization.

34988163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 34988163840 in words is "thirty-four billion, nine hundred eighty-eight million, one hundred sixty-three thousand, eight hundred forty".