39345411420 has 720 divisors, whose sum is σ = 151279349760. Its totient is φ = 8524051200.

The previous prime is 39345411419. The next prime is 39345411461. The reversal of 39345411420 is 2411454393.

39345411420 is a `hidden beast` number, since 3 + 93 + 4 + 541 + 1 + 4 + 20 = 666.

It is a super-2 number, since 2×39345411420² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 145185885 + ... + 145186155.

It is an arithmetic number, because the mean of its divisors is an integer number (210110208).

Almost surely, 2^39345411420 is an apocalyptic number.

39345411420 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 39345411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75639674880).

39345411420 is an abundant number, since it is smaller than the sum of its proper divisors (111933938340).

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

39345411420 is a wasteful number, since it uses less digits than its factorization.

39345411420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 39345411420 in words is "thirty-nine billion, three hundred forty-five million, four hundred eleven thousand, four hundred twenty".