3436948917801 has 189 divisors, whose sum is σ = 6378790619349. Its totient is φ = 1845239574528.

The previous prime is 3436948917739. The next prime is 3436948917803. The reversal of 3436948917801 is 1087198496343.

The square root of 3436948917801 is 1853901.

It is a perfect power (a square), and thus also a powerful number.

3436948917801 is a `hidden beast` number, since 3 + 4 + 3 + 69 + 489 + 17 + 80 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2425958887401 + 1010990030400 = 1557549^2 + 1005480^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 3436948917801 - 2⁹ = 3436948917289 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 (3436948917803) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 5956583625 + ... + 5956584201.

Almost surely, 2^{3436948917801} is an apocalyptic number.

3436948917801 is the 1853901-st square number.

3436948917801 is the 926951-st centered octagonal number.

It is an amenable number.

3436948917801 is a deficient number, since it is larger than the sum of its proper divisors (2941841701548).

3436948917801 is an frugal number, since it uses more digits than its factorization.

3436948917801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 3436948917801 in words is "three trillion, four hundred thirty-six billion, nine hundred forty-eight million, nine hundred seventeen thousand, eight hundred one".