34377676780041 has 36 divisors (see below), whose sum is σ = 57764314436400. Its totient is φ = 19644229282608.

The previous prime is 34377676780037. The next prime is 34377676780079. The reversal of 34377676780041 is 14008767677343.

It is a happy number.

34377676780041 is a `hidden beast` number, since 3 + 437 + 7 + 67 + 67 + 80 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 34377676780041 - 2² = 34377676780037 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (34377676780021) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75739950 + ... + 76192488.

It is an arithmetic number, because the mean of its divisors is an integer number (1604564289900).

Almost surely, 2^{34377676780041} is an apocalyptic number.

It is an amenable number.

34377676780041 is a deficient number, since it is larger than the sum of its proper divisors (23386637656359).

34377676780041 is a wasteful number, since it uses less digits than its factorization.

34377676780041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624818 (or 624808 counting only the distinct ones).

The product of its (nonzero) digits is 99574272, while the sum is 63.

The spelling of 34377676780041 in words is "thirty-four trillion, three hundred seventy-seven billion, six hundred seventy-six million, seven hundred eighty thousand, forty-one".