3477661521401 has 8 divisors (see below), whose sum is σ = 3513551474664. Its totient is φ = 3441772339200.

The previous prime is 3477661521377. The next prime is 3477661521437. The reversal of 3477661521401 is 1041251667743.

It can be written as a sum of positive squares in 4 ways, for example, as 815004506176 + 2662657015225 = 902776^2 + 1631765^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3477661521401 - 2¹⁸ = 3477661259257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3477666521401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15098501 + ... + 15327101.

It is an arithmetic number, because the mean of its divisors is an integer number (439193934333).

Almost surely, 2^{3477661521401} is an apocalyptic number.

It is an amenable number.

3477661521401 is a deficient number, since it is larger than the sum of its proper divisors (35889953263).

3477661521401 is a wasteful number, since it uses less digits than its factorization.

3477661521401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385531.

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 3477661521401 in words is "three trillion, four hundred seventy-seven billion, six hundred sixty-one million, five hundred twenty-one thousand, four hundred one".