3441872349630 has 960 divisors, whose sum is σ = 11697759146304. Its totient is φ = 718776115200.

The previous prime is 3441872349577. The next prime is 3441872349653. The reversal of 3441872349630 is 369432781443.

It is a happy number.

3441872349630 is a `hidden beast` number, since 3 + 4 + 41 + 87 + 2 + 3 + 496 + 30 = 666.

It is a super-2 number, since 2×3441872349630² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2837486904 + ... + 2837488116.

Almost surely, 2^{3441872349630} is an apocalyptic number.

3441872349630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3441872349630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5848879573152).

3441872349630 is an abundant number, since it is smaller than the sum of its proper divisors (8255886796674).

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

3441872349630 is a wasteful number, since it uses less digits than its factorization.

3441872349630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 3441872349630 in words is "three trillion, four hundred forty-one billion, eight hundred seventy-two million, three hundred forty-nine thousand, six hundred thirty".