3541974480 has 800 divisors, whose sum is σ = 14778339840. Its totient is φ = 776355840.

The previous prime is 3541974467. The next prime is 3541974487. The reversal of 3541974480 is 844791453.

It is a super-3 number, since 3×3541974480³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3541974487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44835081 + ... + 44835159.

Almost surely, 2^3541974480 is an apocalyptic number.

3541974480 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 3541974480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7389169920).

3541974480 is an abundant number, since it is smaller than the sum of its proper divisors (11236365360).

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

3541974480 is a wasteful number, since it uses less digits than its factorization.

3541974480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3541974480 is about 59514.4896642826. The cubic root of 3541974480 is about 1524.3398708788.

The spelling of 3541974480 in words is "three billion, five hundred forty-one million, nine hundred seventy-four thousand, four hundred eighty".