3504788363664 has 2025 divisors, whose sum is σ = 13829624943057. Its totient is φ = 854040692736.

The previous prime is 3504788363617. The next prime is 3504788363717. The reversal of 3504788363664 is 4663638874053.

The square root of 3504788363664 is 1872108.

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

3504788363664 is a `hidden beast` number, since 3 + 50 + 478 + 83 + 6 + 36 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2728641459600 + 776146904064 = 1651860^2 + 880992^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 152382102757 + ... + 152382102779.

Almost surely, 2^{3504788363664} is an apocalyptic number.

3504788363664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3504788363664 is the 1872108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3504788363664

3504788363664 is an abundant number, since it is smaller than the sum of its proper divisors (10324836579393).

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

3504788363664 is a wasteful number, since it uses less digits than its factorization.

3504788363664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 3504788363664 in words is "three trillion, five hundred four billion, seven hundred eighty-eight million, three hundred sixty-three thousand, six hundred sixty-four".