34652903382324 has 288 divisors, whose sum is σ = 92688869145600. Its totient is φ = 11318414342400.

The previous prime is 34652903382283. The next prime is 34652903382353. The reversal of 34652903382324 is 42328330925643.

34652903382324 is a `hidden beast` number, since 3 + 4 + 6 + 529 + 0 + 3 + 3 + 82 + 32 + 4 = 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 95 ways as a sum of consecutive naturals, for example, 5314044184 + ... + 5314050704.

It is an arithmetic number, because the mean of its divisors is an integer number (321836351200).

Almost surely, 2^{34652903382324} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34652903382324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46344434572800).

34652903382324 is an abundant number, since it is smaller than the sum of its proper divisors (58035965763276).

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

34652903382324 is a wasteful number, since it uses less digits than its factorization.

34652903382324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7153 (or 7139 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 34652903382324 in words is "thirty-four trillion, six hundred fifty-two billion, nine hundred three million, three hundred eighty-two thousand, three hundred twenty-four".