34653230765010 has 384 divisors, whose sum is σ = 115015162429440. Its totient is φ = 7109450611200.

The previous prime is 34653230764907. The next prime is 34653230765053. The reversal of 34653230765010 is 1056703235643.

It is a happy number.

34653230765010 is a `hidden beast` number, since 3 + 4 + 6 + 53 + 23 + 0 + 76 + 501 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5294727 + ... + 9866133.

It is an arithmetic number, because the mean of its divisors is an integer number (299518652160).

Almost surely, 2^{34653230765010} is an apocalyptic number.

34653230765010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34653230765010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57507581214720).

34653230765010 is an abundant number, since it is smaller than the sum of its proper divisors (80361931664430).

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

34653230765010 is a wasteful number, since it uses less digits than its factorization.

34653230765010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4571494 (or 4571491 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 34653230765010 in words is "thirty-four trillion, six hundred fifty-three billion, two hundred thirty million, seven hundred sixty-five thousand, ten".