38016420 has 192 divisors, whose sum is σ = 125991936. Its totient is φ = 8478720.

The previous prime is 38016409. The next prime is 38016443. The reversal of 38016420 is 2461083.

Added to its reverse (2461083) it gives a triangular number (40477503 = T₈₉₉₇).

38016420 = T₁ + T₂ + ... + T₆₁₀.

It is a happy number.

38016420 is a nontrivial binomial coefficient, being equal to C(612, 3).

It is a congruent number.

It is an unprimeable number.

It is the 610-th tetrahedral number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 623190 + ... + 623250.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 2^38016420 is an apocalyptic number.

38016420 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 38016420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62995968).

38016420 is an abundant number, since it is smaller than the sum of its proper divisors (87975516).

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

38016420 is a wasteful number, since it uses less digits than its factorization.

38016420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 38016420 is about 6165.7456969940. The cubic root of 38016420 is about 336.2459579490.

Adding to 38016420 its reverse (2461083), we get a triangular number (40477503 = T₈₉₉₇).

The spelling of 38016420 in words is "thirty-eight million, sixteen thousand, four hundred twenty".