3463777874880 has 896 divisors, whose sum is σ = 12780186946560. Its totient is φ = 882371543040.

The previous prime is 3463777874861. The next prime is 3463777874881. The reversal of 3463777874880 is 884787773643.

3463777874880 is a `hidden beast` number, since 3 + 4 + 6 + 3 + 77 + 78 + 7 + 488 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3463777874799 and 3463777874808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3463777874881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4480954174 + ... + 4480954946.

Almost surely, 2^{3463777874880} is an apocalyptic number.

3463777874880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3463777874880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390093473280).

3463777874880 is an abundant number, since it is smaller than the sum of its proper divisors (9316409071680).

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

3463777874880 is a wasteful number, since it uses less digits than its factorization.

3463777874880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 1062125568, while the sum is 72.

The spelling of 3463777874880 in words is "three trillion, four hundred sixty-three billion, seven hundred seventy-seven million, eight hundred seventy-four thousand, eight hundred eighty".