34670040784038 has 384 divisors, whose sum is σ = 86919804518400. Its totient is φ = 10233220536000.

The previous prime is 34670040784021. The next prime is 34670040784091. The reversal of 34670040784038 is 83048704007643.

34670040784038 is a `hidden beast` number, since 3 + 467 + 0 + 0 + 40 + 78 + 40 + 38 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14379941053 + ... + 14379943463.

It is an arithmetic number, because the mean of its divisors is an integer number (226353657600).

Almost surely, 2^{34670040784038} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34670040784038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43459902259200).

34670040784038 is an abundant number, since it is smaller than the sum of its proper divisors (52249763734362).

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

34670040784038 is a wasteful number, since it uses less digits than its factorization.

34670040784038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 34670040784038 in words is "thirty-four trillion, six hundred seventy billion, forty million, seven hundred eighty-four thousand, thirty-eight".