3453695781120 has 1728 divisors, whose sum is σ = 14444386145280. Its totient is φ = 782375583744.

The previous prime is 3453695781089. The next prime is 3453695781131. The reversal of 3453695781120 is 211875963543.

It is a happy number.

3453695781120 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 69 + 578 + 1 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3230771946 + ... + 3230773014.

It is an arithmetic number, because the mean of its divisors is an integer number (8359019760).

It is a 1-persistent number, because it is pandigital, but 2⋅3453695781120 = 6907391562240 is not.

Almost surely, 2^{3453695781120} is an apocalyptic number.

3453695781120 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 3453695781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7222193072640).

3453695781120 is an abundant number, since it is smaller than the sum of its proper divisors (10990690364160).

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

3453695781120 is a wasteful number, since it uses less digits than its factorization.

3453695781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 3453695781120 in words is "three trillion, four hundred fifty-three billion, six hundred ninety-five million, seven hundred eighty-one thousand, one hundred twenty".