3542479920 has 400 divisors, whose sum is σ = 14551479360. Its totient is φ = 781498368.

The previous prime is 3542479859. The next prime is 3542479921. The reversal of 3542479920 is 299742453.

It is a super-3 number, since 3×3542479920³ (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 not an unprimeable number, because it can be changed into a prime (3542479921) 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, 1314094 + ... + 1316786.

Almost surely, 2^3542479920 is an apocalyptic number.

3542479920 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 3542479920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7275739680).

3542479920 is an abundant number, since it is smaller than the sum of its proper divisors (11008999440).

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

3542479920 is a wasteful number, since it uses less digits than its factorization.

3542479920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3542479920 is about 59518.7358736726. The cubic root of 3542479920 is about 1524.4123752314.

The spelling of 3542479920 in words is "three billion, five hundred forty-two million, four hundred seventy-nine thousand, nine hundred twenty".