34812187683840 has 1584 divisors, whose sum is σ = 143764058343360. Its totient is φ = 7629467811840.

The previous prime is 34812187683761. The next prime is 34812187683863. The reversal of 34812187683840 is 4838678121843.

It is a happy number.

34812187683840 is a `hidden beast` number, since 3 + 4 + 8 + 12 + 187 + 68 + 384 + 0 = 666.

It is a super-2 number, since 2×34812187683840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49100405406 + ... + 49100406114.

Almost surely, 2^{34812187683840} is an apocalyptic number.

34812187683840 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 34812187683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71882029171680).

34812187683840 is an abundant number, since it is smaller than the sum of its proper divisors (108951870659520).

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

34812187683840 is a wasteful number, since it uses less digits than its factorization.

34812187683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 34812187683840 in words is "thirty-four trillion, eight hundred twelve billion, one hundred eighty-seven million, six hundred eighty-three thousand, eight hundred forty".