3464654783040 has 560 divisors, whose sum is σ = 14029367806080. Its totient is φ = 803396689920.

The previous prime is 3464654782969. The next prime is 3464654783047. The reversal of 3464654783040 is 403874564643.

3464654783040 is a `hidden beast` number, since 3 + 4 + 64 + 6 + 547 + 8 + 30 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3464654783047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6293596 + ... + 6821924.

Almost surely, 2^{3464654783040} is an apocalyptic number.

3464654783040 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 3464654783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7014683903040).

3464654783040 is an abundant number, since it is smaller than the sum of its proper divisors (10564713023040).

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

3464654783040 is a wasteful number, since it uses less digits than its factorization.

3464654783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528392 (or 528373 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 3464654783040 in words is "three trillion, four hundred sixty-four billion, six hundred fifty-four million, seven hundred eighty-three thousand, forty".